Last update:
Fri May 31 10:35:54 MDT 2024
Walter Van Assche Weighted zero distribution for
polynomials orthogonal on an infinite
interval . . . . . . . . . . . . . . . . 1317--1334
Steven J. Cox and
C. Maeve McCarthy The Shape of the Tallest Column . . . . 547--554
Ranjan K. Mallik On the Solution of a Linear Homogeneous
Difference Equation with Variable
Coefficients . . . . . . . . . . . . . . 375--385
Carmen Chicone and
Weishi Liu On the Continuation of an Invariant
Torus in a Family with Rapid
Oscillations . . . . . . . . . . . . . . 386--415
Rob A. Zuidwijk Directional and Time-Scale Wavelet
Analysis . . . . . . . . . . . . . . . . 416--430
Amitabha Bose A Geometric Approach to Singularly
Perturbed Nonlocal Reaction-Diffusion
Equations . . . . . . . . . . . . . . . 431--454
Peter Alfeld and
Larry L. Schumaker Nonexistence of Star-Supported Spline
Bases . . . . . . . . . . . . . . . . . 455--465
Barbara Niethammer and
Robert L. Pego On the Initial-Value Problem in the
Lifshitz--Slyozov--Wagner Theory of
Ostwald Ripening . . . . . . . . . . . . 467--485
Akira Hoshiga and
Hideo Kubo Global Small Amplitude Solutions of
Nonlinear Hyperbolic Systems with a
Critical Exponent under the Null
Condition . . . . . . . . . . . . . . . 486--513
Hal L. Smith and
Xiao-Qiang Zhao Global Asymptotic Stability of Traveling
Waves in Delayed Reaction-Diffusion
Equations . . . . . . . . . . . . . . . 514--534
Xuefeng Wang Qualitative Behavior of Solutions of
Chemotactic Diffusion Systems: Effects
of Motility and Chemotaxis and Dynamics 535--560
Richard F. Gundy and
Kazaros Kazarian Stopping Times and Local Convergence for
Spline Wavelet Expansions . . . . . . . 561--573
V. Dobric and
R. F. Gundy and
P. Hitczenko Stability Properties for a Compactly
Supported Prescale Function . . . . . . 574--580
Juan Casado Diaz and
Adriana Garroni Asymptotic Behavior of Nonlinear
Elliptic Systems on Varying Domains . . 581--624
Thierry Cazenave and
Fred B. Weissler Scattering Theory and Self-Similar
Solutions for the Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . 625--650
Eric Bonnetier and
Michael Vogelius An Elliptic Regularity Result for a
Composite Medium with ``Touching''
Fibers of Circular Cross-Section . . . . 651--677
Shingo Takeuchi Behavior of Solutions Near the Flat Hats
of Stationary Solutions for a Degenerate
Parabolic Equation . . . . . . . . . . . 678--692
Roger W. Barnard and
Kent Pearce and
Kendall C. Richards An Inequality Involving the Generalized
Hypergeometric Function and the Arc
Length of an Ellipse . . . . . . . . . . 693--699
Mishio Kawashita and
Gen Nakamura The Poles of the Resolvent for the
Exterior Neumann Problem of Anisotropic
Elasticity . . . . . . . . . . . . . . . 701--725
Di-Rong Chen On the Splitting Trick and Wavelet Frame
Packets . . . . . . . . . . . . . . . . 726--739
Cherif Amrouche and
Vivette Girault and
Maria Elena Schonbek and
Tomas P. Schonbek Pointwise Decay of Solutions and of
Higher Derivatives to Navier--Stokes
Equations . . . . . . . . . . . . . . . 740--753
José L. López Asymptotic Expansions of Symmetric
Standard Elliptic Integrals . . . . . . 754--775
M. Bertsch and
S. Kamin A System of Degenerate Parabolic
Equations from Plasma Physics: The Large
Time Behavior . . . . . . . . . . . . . 776--790
Harumi Hattori The Entropy Rate Admissibility Criterion
and the Entropy Condition for a Phase
Transition Problem: The Isothermal Case 791--820
Jeffery Cooper Parametric Resonance in Wave Equations
with a Time-Periodic Potential . . . . . 821--835
H. Ammari and
J.-C. Nédélec Low-Frequency Electromagnetic Scattering 836--861
B. H. Gilding and
J. Goncerzewicz Localization of Solutions of Exterior
Domain Problems for the Porous Media
Equation with Radial Symmetry . . . . . 862--893
Helge Kristian Jenssen Blowup for Systems of Conservation Laws 894--908
Xiaofeng Ren and
Juncheng Wei On the Multiplicity of Solutions of Two
Nonlocal Variational Problems . . . . . 909--924
G. Barles and
Panagiotis E. Souganidis On the Large Time Behavior of Solutions
of Hamilton--Jacobi Equations . . . . . 925--939
Steven J. Cox and
C. Maeve McCarthy The Shape of the Tallest Column:
Corrected . . . . . . . . . . . . . . . 940--940
Brian T. Hayes and
Philippe G. LeFloch Nonclassical Shocks and Kinetic
Relations: Strictly Hyperbolic Systems 941--991
W.-Y. Qiu and
R. Wong Uniform Asymptotic Formula for
Orthogonal Polynomials with Exponential
Weight . . . . . . . . . . . . . . . . . 992--1029
David L. Donoho and
Thomas P.-Y. Yu Nonlinear Pyramid Transforms Based on
Median-Interpolation . . . . . . . . . . 1030--1061
David L. Donoho Orthonormal Ridgelets and Linear
Singularities . . . . . . . . . . . . . 1062--1099
Jean Maeght and
Dominikus Noll Resolution in Dynamic Emission
Tomography . . . . . . . . . . . . . . . 1100--1120
Irene Fonseca and
Carlo Mantegazza Second Order Singular Perturbation
Models for Phase Transitions . . . . . . 1121--1143
Hermano Frid and
Vladimir Shelukhin Vanishing Shear Viscosity in the
Equations of Compressible Fluids for the
Flows with the Cylinder Symmetry . . . . 1144--1156
Victor A. Galaktionov and
Lambertus A. Peletier and
Juan L. Vazquez Asymptotics of the Fast-Diffusion
Equation with Critical Exponent . . . . 1157--1174
Tao Luo and
Zhouping Xin and
Tong Yang Interface Behavior of Compressible
Navier--Stokes Equations with Vacuum . . 1175--1191
Michael Kunzinger and
Michael Oberguggenberger Group Analysis of Differential Equations
and Generalized Functions . . . . . . . 1192--1213
David V. Ingerman Discrete and Continuous
Dirichlet-to-Neumann Maps in the Layered
Case . . . . . . . . . . . . . . . . . . 1214--1234
Amadeu Delshams and
Rafael de la Llave KAM Theory and a Partial Justification
of Greene's Criterion for Nontwist Maps 1235--1269
J. A. Aguilar Crespo and
I. Peral Alonso Global Behavior of the Cauchy Problem
for Some Critical Nonlinear Parabolic
Equations . . . . . . . . . . . . . . . 1270--1294
June-Yub Lee and
Jin Keun Seo Identification of Two-Phase Free
Boundary Arising in Plasma Physics . . . 1295--1306
Timothy J. Healey and
Hansjörg Kielhöfer Global Continuation via Higher-Gradient
Regularization and Singular Limits in
Forced One-Dimensional Phase Transitions 1307--1331
Vladimir Protasov A Complete Solution Characterizing
Smooth Refinable Functions . . . . . . . 1332--1350
Yi A. Li and
Keith Promislow The Mechanism of the Polarizational Mode
Instability in Birefringent Fiber Optics 1351--1373
A. Bonnet and
S. J. Chapman and
R. Monneau Convergence of Meissner Minimizers of
the Ginzburg--Landau Energy of
Superconductivity as $ \kappa \to +
\infty $ . . . . . . . . . . . . . . . . 1374--1395
Bernold Fiedler and
Stefan Liebscher Generic Hopf Bifurcation From Lines of
Equilibria Without Parameters: II.
Systems of Viscous Hyperbolic Balance
Laws . . . . . . . . . . . . . . . . . . 1396--1404
Thierry Gallay and
Genevi\`eve Raugel Scaling Variables and Stability of
Hyperbolic Fronts . . . . . . . . . . . 1--29
Markus Kunze and
Herbert Spohn Radiation Reaction and Center Manifolds 30--53
R. G. Docksey and
J. N. Elgin Closure of the Manakov System . . . . . 54--79
Eric Clarkson Angular Channels in a Multidimensional
Wavelet Transform . . . . . . . . . . . 80--102
Carsten Ebmeyer Nonlinear Elliptic Problems Under Mixed
Boundary Value Conditions in Nonsmooth
Domains . . . . . . . . . . . . . . . . 103--118
Clark Robinson Nonsymmetric Lorenz Attractors from a
Homoclinic Bifurcation . . . . . . . . . 119--141
Zs. Biro and
J. J. L. Velazquez Analysis Of a Free Boundary Problem
Arising in Bubble Dynamics . . . . . . . 142--171
Laurent Boudin A Solution with Bounded Expansion Rate
to the Model of Viscous Pressureless
Gases . . . . . . . . . . . . . . . . . 172--193
A. L. Bertozzi and
M. Shearer Existence of Undercompressive Traveling
Waves in Thin Film Equations . . . . . . 194--213
Carlo D. Pagani and
Dario Pierotti On Solvability of the Nonlinear Wave
Resistance Problem for a
Surface-Piercing Symmetric Cylinder . . 214--233
Ugur G. Abdulla and
John R. King Interface Development and Local
Solutions to Reaction-Diffusion
Equations . . . . . . . . . . . . . . . 235--260
Manfrin Renato A Note on the Formation of Singularities
for Quasi-Linear Hyperbolic Systems . . 261--290
L. E. Payne and
G. A. Philippin On the Spatial Decay of Solutions to a
Quasi-Linear Parabolic Initial-Boundary
Value Problem and Their Derivatives . . 291--303
Jong Uhn Kim On a Stochastic Hyperbolic System in
Linear Elasticity . . . . . . . . . . . 304--322
Walter Craig and
David P. Nicholls Traveling Two and Three Dimensional
Capillary Gravity Water Waves . . . . . 323--359
Herbert Koch and
Stuart S. Antman Stability and Hopf Bifurcation for Fully
Nonlinear Parabolic-Hyperbolic Equations 360--384
Franz Peherstorfer and
Robert Steinbauer Strong Asymptotics of Orthonormal
Polynomials with the Aid of Green's
Function . . . . . . . . . . . . . . . . 385--402
Roger W. Barnard and
Kent Pearce and
Kendall C. Richards A Monotonicity Property Involving $_3
F_2$ and Comparisons of the Classical
Approximations of Elliptical Arc Length 403--419
Rong-Qing Jia and
Qingtang Jiang and
Zuowei Shen Distributional Solutions of
Nonhomogeneous Discrete and Continuous
Refinement Equations . . . . . . . . . . 420--434
Mary Beth Ruskai and
Elisabeth Werner Study of a Class of Regularizations of $
1 / |x| $ Using Gaussian Integrals . . . 435--463
Wilfrid Gangbo and
Roberto Van der Putten Uniqueness of Equilibrium Configurations
in Solid Crystals . . . . . . . . . . . 465--492
FangHua Lin and
Tai-Chia Lin Vortex State of $d$-Wave Superconductors
in the Ginzburg--Landau Energy . . . . . 493--503
Le Dung Coexistence with Chemotaxis . . . . . . 504--521
Mishio Kawashita and
Yaroslav V. Kurylev and
Hideo Soga Harmonic Moments and an Inverse Problem
for the Heat Equation . . . . . . . . . 522--537
Yibin Zheng and
Peter C. Doerschuk Explicit Computation of Orthonormal
Symmetrized Harmonics with Application
to the Identity Representation of the
Icosahedral Group . . . . . . . . . . . 538--554
Yanheng Ding and
Cheng Lee Periodic Solutions of Hamiltonian
Systems . . . . . . . . . . . . . . . . 555--571
G. Al\`\i and
D. Bini and
S. Rionero Global Existence and Relaxation Limit
for Smooth Solutions to the
Euler--Poisson Model for Semiconductors 572--587
Luca Lorenzi Optimal Schauder Estimates for Parabolic
Problems with Data Measurable with
Respect to Time . . . . . . . . . . . . 588--615
Albert Cohen and
Benoit Perthame Optimal Approximations of Transport
Equations by Particle and Pseudoparticle
Methods . . . . . . . . . . . . . . . . 616--636
Michelle Schatzman Stability with Respect to
Pseudodifferential Perturbations of Some
Nonlinear Diffusive Equations . . . . . 637--650
Shaobo Gan and
Meirong Zhang Resonance Pockets of Hill's Equations
with Two-Step Potentials . . . . . . . . 651--664
Frank Duzaar and
Andreas Gastel and
Joseph F. Grotowski Partial Regularity for Almost Minimizers
of Quasi-Convex Integrals . . . . . . . 665--687
J. D. Pinezich Periodic Structure in Two-Dimensional
Riemann Problems for Hamilton--Jacobi
Equations . . . . . . . . . . . . . . . 688--706
Yihong Du Exact Multiplicity and S-Shaped
Bifurcation Curve for some Semilinear
Elliptic Problems from Combustion Theory 707--733
Martin Chuaqui and
Julian Gevirtz Constant Principal Strain Mappings On
$2$-Manifolds . . . . . . . . . . . . . 734--759
Ansgar Jüngel and
René Pinnau Global Nonnegative Solutions of a
Nonlinear Fourth-Order Parabolic
Equation for Quantum Systems . . . . . . 760--777
Xinfu Chen and
Avner Friedman A Free Boundary Problem Arising in a
Model of Wound Healing . . . . . . . . . 778--800
Vyacheslav Pivovarchik Inverse Problem for the Sturm--Liouville
Equation on a Simple Graph . . . . . . . 801--819
Matthias Stiefenhofer Unfolding Singularly Perturbed Bogdanov
Points . . . . . . . . . . . . . . . . . 820--853
Pablo Pedregal Optimal Design and Constrained
Quasiconvexity . . . . . . . . . . . . . 854--869
Eitan Tadmor and
Tao Tang Pointwise Error Estimates for Relaxation
Approximations to Conservation Laws . . 870--886
Frank Jochmann Long Time Asymptotics of Solutions to
the Anharmonic Oscillator Model from
Nonlinear Optics . . . . . . . . . . . . 887--915
Zhijun Zhang and
Jianning Yu On a Singular Nonlinear Dirichlet
Problem with a Convection Term . . . . . 916--927
Sylvie Benzoni-Gavage and
Denis Serre and
Kevin Zumbrun Alternate Evans Functions and Viscous
Shock Waves . . . . . . . . . . . . . . 929--962
B. Canuto and
O. Kavian Determining Coefficients in a Class of
Heat Equations via Boundary Measurements 963--986
T. M. Dunster Uniform Asymptotic Expansions for the
Reverse Generalized Bessel Polynomials,
and Related Functions . . . . . . . . . 987--1013
S. M. Sun Existence of Large Amplitude Periodic
Waves in Two-Fluid Flows of Infinite
Depth . . . . . . . . . . . . . . . . . 1014--1031
Fritz Keinert Raising Multiwavelet Approximation Order
Through Lifting . . . . . . . . . . . . 1032--1049
Tetsu Mizumachi Large Time Asymptotics of Solutions
Around Solitary Waves to the Generalized
Korteweg--de Vries Equations . . . . . . 1050--1080
Robert Lipton Optimal Inequalities for Gradients of
Solutions of Elliptic Equations
Occurring in Two-Phase Heat Conductors 1081--1093
Marta Lewicka Stability Conditions for Patterns of
Noninteracting Large Shock Waves . . . . 1094--1116
N. V. Krylov The Heat Equation in $ L_q((0, T), L_p)
$-Spaces with Weights . . . . . . . . . 1117--1141
Mark A. Peletier Sequential Buckling: A Variational
Analysis . . . . . . . . . . . . . . . . 1142--1168
Walter Van Assche Erratum to ``Weighted Zero Distribution
For Polynomials Orthogonal on an
Infinite Interval'' . . . . . . . . . . 1169--1170
Luigi Ambrosio and
Loris Faina and
Riccardo March Variational Approximation of a Second
Order Free Discontinuity Problem in
Computer Vision . . . . . . . . . . . . 1171--1197
Guy Bouchitté and
Ilaria Fragal\`a Homogenization of Thin Structures by
Two-Scale Method with Respect to
Measures . . . . . . . . . . . . . . . . 1198--1226
Emmanuel Frénod and
Eric Sonnendrücker The Finite Larmor Radius Approximation 1227--1247
Alexei Rybkin On the Trace Approach to the Inverse
Scattering Problem in Dimension One . . 1248--1264
Kenji Nakanishi Asymptotically-Free Solutions for the
Short-Range Nonlinear Schrödinger
Equation . . . . . . . . . . . . . . . . 1265--1271
R. K. Beatson and
J. B. Cherrie and
D. L. Ragozin Fast Evaluation of Radial Basis
Functions: Methods for Four-Dimensional
Polyharmonic Splines . . . . . . . . . . 1272--1310
G. Barles and
P. E. Souganidis Space-Time Periodic Solutions and
Long-Time Behavior of Solutions to
Quasi-linear Parabolic Equations . . . . 1311--1323
Maciej Zworski A Remark on Isopolar Potentials . . . . 1324--1326
Martin Brühl Explicit Characterization of Inclusions
in Electrical Impedance Tomography . . . 1327--1341
Jan Bouwe van den Berg and
Josephus Hulshof and
Robertus C. Vandervorst Travelling Waves for Fourth Order
Parabolic Equations . . . . . . . . . . 1342--1374
L. Amour Isospectral Flows of Third Order
Operators . . . . . . . . . . . . . . . 1375--1389
Ding-Xuan Zhou Self-Similar Lattice Tilings and
Subdivision Schemes . . . . . . . . . . 1--15
E. Kirr and
M. I. Weinstein Parametrically Excited Hamiltonian
Partial Differential Equations . . . . . 16--52
Andrey Piatnitski and
Elisabeth Remy Homogenization of Elliptic Difference
Operators . . . . . . . . . . . . . . . 53--83
Jean-Yves Chemin and
Nader Masmoudi About Lifespan of Regular Solutions of
Equations Related to Viscoelastic Fluids 84--112
T. Kappeler and
B. Mityagin Estimates for Periodic and Dirichlet
Eigenvalues of the Schrödinger Operator 113--152
Giovanni Alessandrini and
Romina Gaburro Determining Conductivity with Special
Anisotropy by Boundary Measurements . . 153--171
Xinfu Chen and
MichaL Kowalczyk Dynamics of an Interior Spike in the
Gierer--Meinhardt System . . . . . . . . 172--193
Howard L. Resnikoff and
Jun Tian and
Raymond O. Wells, Jr. Biorthogonal Wavelet Space:
Parametrization and Factorization . . . 194--215
Kenji Nishihara and
Masataka Nishikawa Asymptotic Behavior of Solutions to the
System of Compressible Adiabatic Flow
through Porous Media . . . . . . . . . . 216--239
Evans M. Harrell II and
Pawel Kröger and
Kazuhiro Kurata On the Placement of an Obstacle or a
Well so as to Optimize the Fundamental
Eigenvalue . . . . . . . . . . . . . . . 240--259
P. D. Miller and
S. R. Clarke An Exactly Solvable Model for the
Interaction of Linear Waves with
Korteweg--de Vries Solitons . . . . . . 261--285
M. Krupa and
P. Szmolyan Extending Geometric Singular
Perturbation Theory to Nonhyperbolic
Points --- Fold and Canard Points in Two
Dimensions . . . . . . . . . . . . . . . 286--314
Govind Menon and
György Haller Infinite Dimensional Geometric Singular
Perturbation Theory for the
Maxwell--Bloch Equations . . . . . . . . 315--346
Emmanuel J. Candes Ridgelets and the Representation of
Mutilated Sobolev Functions . . . . . . 347--368
Hitoshi Ishii and
Katsuyuki Ishii An Approximation Scheme for Motion by
Mean Curvature with Right-Angle Boundary
Condition . . . . . . . . . . . . . . . 369--389
Maria Carmela Lombardo and
Marco Sammartino Zero Viscosity Limit of the Oseen
Equations in a Channel . . . . . . . . . 390--410
Seung-Yeal Ha $ L^1 $ Stability for Systems of
Conservation Laws with a Nonresonant
Moving Source . . . . . . . . . . . . . 411--439
Vincent Masselin A Result on the Blow-up Rate for the
Zakharov System in Dimension $3$ . . . . 440--447
Vladimir Protasov The Stability of Subdivision Operator at
Its Fixed Point . . . . . . . . . . . . 448--460
T. Arens Uniqueness for Elastic Wave Scattering
by Rough Surfaces . . . . . . . . . . . 461--476
Thomas C. Sideris and
Shu-Yi Tu Global Existence for Systems of
Nonlinear Wave Equations in $3$D with
Multiple Speeds . . . . . . . . . . . . 477--488
Yoshiyuki Kagei Invariant Manifolds and Long-Time
Asymptotics for the
Vlasov--Poisson--Fokker--Planck Equation 489--507
Victor Isakov On the Uniqueness of the Continuation
for a Thermoelasticity System . . . . . 509--522
Yoshiko Fujigaki and
Tetsuro Miyakawa Asymptotic Profiles of Nonstationary
Incompressible Navier--Stokes Flows in
the Whole Space . . . . . . . . . . . . 523--544
Toshihiro Ishibashi and
Shigeaki Koike On Fully Nonlinear PDEs Derived from
Variational Problems of $ L^p $ Norms 545--569
W. E. Fitzgibbon and
M. Langlais and
J. J. Morgan A Mathematical Model of the Spread of
Feline Leukemia Virus (FeLV) Through a
Highly Heterogeneous Spatial Domain . . 570--588
Paul C. Fife and
Danielle Hilhorst The Nishiura--Ohnishi Free Boundary
Problem in the $1$D Case . . . . . . . . 589--606
Yong Jung Kim and
Athanasios E. Tzavaras Diffusive $N$-Waves and Metastability in
the Burgers Equation . . . . . . . . . . 607--633
Yann Gousseau and
Jean-Michel Morel Are Natural Images of Bounded Variation? 634--648
J. Colliander and
M. Keel and
G. Staffilani and
H. Takaoka and
T. Tao Global Well-Posedness for Schrödinger
Equations with Derivative . . . . . . . 649--669
Peter Hähner and
Thorsten Hohage New Stability Estimates for the Inverse
Acoustic Inhomogeneous Medium Problem
and Applications . . . . . . . . . . . . 670--685
Geno Nikolov Inequalities of Duffin--Schaeffer Type 686--698
Petri Juutinen and
Peter Lindqvist and
Juan J. Manfredi On the Equivalence of Viscosity
Solutions and Weak Solutions for a
Quasi-Linear Equation . . . . . . . . . 699--717
Olaf Hansen The Local Behavior of the Solution of
the Radiosity Equation at the Vertices
of Polyhedral Domains in $ \mathbb {R}^3
$ . . . . . . . . . . . . . . . . . . . 718--750
Gui-Qiang Chen and
Emmanuele DiBenedetto Stability of Entropy Solutions to the
Cauchy Problem for a Class of Nonlinear
Hyperbolic-Parabolic Equations . . . . . 751--762
Yin Yang and
Hua Chen and
Weian Liu On Existence of Global Solutions and
Blow-Up to a System of
Reaction-Diffusion Equations Modelling
Chemotaxis . . . . . . . . . . . . . . . 763--785
Diego Cordoba and
Charles Fefferman Potato Chip Singularities of $3$D Flows 786--789
Pierangelo Marcati and
Ronghua Pan On the Diffusive Profiles for the System
of Compressible Adiabatic Flow through
Porous Media . . . . . . . . . . . . . . 790--826
R. Buckdahn and
P. Cardaliaguet and
M. Quincampoix A Representation Formula for the Mean
Curvature Motion . . . . . . . . . . . . 827--846
Pascal Azérad and
Francisco Guillén Mathematical Justification of the
Hydrostatic Approximation in the
Primitive Equations of Geophysical Fluid
Dynamics . . . . . . . . . . . . . . . . 847--859
Hitoshi Ishii and
Toshio Mikami A Mathematical Model of the Wearing
Process of a Nonconvex Stone . . . . . . 860--876
Adel Blouza and
Hervé Le Dret An Up-to-the Boundary Version of
Friedrichs's Lemma and Applications to
the Linear Koiter Shell Model . . . . . 877--895
Gerhard Rein Reduction and a
Concentration-Compactness Principle for
Energy-Casimir Functionals . . . . . . . 896--912
M. Liefvendahl and
G. Kreiss Stability of Viscous Shock Waves for
Problems with Nonsymmetric Viscosity
Matrices . . . . . . . . . . . . . . . . 913--929
Hailiang Liu and
Eitan Tadmor Critical Thresholds in a Convolution
Model for Nonlinear Conservation Laws 930--945
Jungho Yoon Spectral Approximation Orders of Radial
Basis Function Interpolation on the
Sobolev Space . . . . . . . . . . . . . 946--958
Stefano Bianchini Stability of $ L^\infty $ Solutions for
Hyperbolic Systems with Coinciding
Shocks and Rarefactions . . . . . . . . 959--981
L. Molinet and
J. C. Saut and
N. Tzvetkov Ill-Posedness Issues for the
Benjamin--Ono and Related Equations . . 982--988
Alfonso Castro and
J. W. Neuberger A Local Inversion Principle of the
Nash--Moser Type . . . . . . . . . . . . 989--993
Hamid Bellout and
Emil Cornea and
Jindrich Necas On the Concept of Very Weak $ {L}^2 $ S
o l u t i o n s t o Euler's E q u a t i
o n s . . . . . . . . . . . . . . . . . 995--1006
Michael Westdickenberg Some New Velocity Averaging Results . . 1007--1032
M. C. Calderer and
D. Golovaty and
F.-H. Lin and
C. Liu Time Evolution of Nematic Liquid
Crystals with Variable Degree of
Orientation . . . . . . . . . . . . . . 1033--1047
Sebastian J. Schreiber Permanence of Weakly Coupled Vector
Fields . . . . . . . . . . . . . . . . . 1048--1057
Juncheng Wei and
Matthias Winter Critical Threshold and Stability of
Cluster Solutions for Large
Reaction-Diffusion Systems in $ {R}^1 $ 1058--1089
Brian R. Duffy and
Pedro Freitas and
Michael Grinfeld Memory Driven Instability in a Diffusion
Process . . . . . . . . . . . . . . . . 1090--1106
Ming-Jun Lai and
Larry L. Schumaker Quadrilateral Macroelements . . . . . . 1107--1116
Todd Kapitula and
Björn Sandstede Edge Bifurcations for Near Integrable
Systems via Evans Function Techniques 1117--1143
Edoardo Beretta and
Yang Kuang Geometric Stability Switch Criteria in
Delay Differential Systems with Delay
Dependent Parameters . . . . . . . . . . 1144--1165
Carlos Conca and
Rafael Orive and
Muthusamy Vanninathan Bloch Approximation in Homogenization
and Applications . . . . . . . . . . . . 1166--1198
Paulo R. Zingano and
Stanly L. Steinberg On the Hardy--Littlewood Theorem for
Functions of Bounded Variation . . . . . 1199--1210
Jong Uhn Kim On the Stochastic Euler Equations in a
Two-Dimensional Domain . . . . . . . . . 1211--1227
Gerhard Dziuk and
Ernst Kuwert and
Reiner Schatzle Evolution of Elastic Curves in $
{\mathbb R}^n $: Existence and
Computation . . . . . . . . . . . . . . 1228--1245
Giovanni Alessandrini and
Antonino Morassi and
Edi Rosset Detecting an Inclusion in an Elastic
Body by Boundary Measurements . . . . . 1247--1268
Luc Molinet and
Francis Ribaud The Global Cauchy Problem in
Bourgain's-Type Spaces for a Dispersive
Dissipative Semilinear Equation . . . . 1269--1296
Joseph W.-H. So and
Xianhua Tang and
Xingfu Zou Stability in a Linear Delay System
without Instantaneous Negative Feedback 1297--1304
G. W. Reddien Path-Tracking through Singularities . . 1305--1319
Cezar I. Kondo and
Philippe G. LeFloch Zero Diffusion-Dispersion Limits for
Scalar Conservation Laws . . . . . . . . 1320--1329
Marco A. Fontelos and
Avner Friedman and
Bei Hu Mathematical Analysis of a Model for the
Initiation of Angiogenesis . . . . . . . 1330--1355
Thomas J. Bridges and
Gianne Derks Linear Instability of Solitary Wave
Solutions of the Kawahara Equation and
Its Generalizations . . . . . . . . . . 1356--1378
Shuichi Jimbo and
Peter Sternberg Nonexistence of Permanent Currents in
Convex Planar Samples . . . . . . . . . 1379--1392
Francis J. Narcowich and
Joseph D. Ward Scattered Data Interpolation on Spheres:
Error Estimates and Locally Supported
Basis Functions . . . . . . . . . . . . 1393--1410
K. S. Moore Large Torsional Oscillations in a
Suspension Bridge: Multiple Periodic
Solutions to a Nonlinear Wave Equation 1411--1429
Ján Filo and
Volker Pluschke A Free Boundary Problem in Dermal Drug
Delivery . . . . . . . . . . . . . . . . 1430--1454
Keith Promislow A Renormalization Method for
Modulational Stability of Quasi-Steady
Patterns in Dispersive Systems . . . . . 1455--1482
Dragos Iftimie A Uniqueness Result for the
Navier--Stokes Equations with Vanishing
Vertical Viscosity . . . . . . . . . . . 1483--1493
Kenneth L. Kuttler and
Meir Shillor Dynamic Contact with Normal Compliance
Wear and Discontinuous Friction
Coefficient . . . . . . . . . . . . . . 1--27
Fabio Ancona and
Paola Goatin Uniqueness and Stability of $ L^\infty $
Solutions for Temple Class Systems with
Boundary and Properties of the
Attainable Sets . . . . . . . . . . . . 28--63
J. Colliander and
M. Keel and
G. Staffilani and
H. Takaoka and
T. Tao A Refined Global Well-Posedness Result
for Schrödinger Equations with Derivative 64--86
Kyungkeun Kang and
Seick Kim On the Hölder Continuity of Solutions of
a Certain System Related to Maxwell's
Equations . . . . . . . . . . . . . . . 87--100
M. Comte and
T. Lachand-Robert Functions and Domains Having Minimal
Resistance Under a Single-Impact
Assumption . . . . . . . . . . . . . . . 101--120
R. Mikulevicius On the Cauchy Problem for Stochastic
Stokes Equations . . . . . . . . . . . . 121--141
Jean-François Coulombel Weak Stability of Nonuniformly Stable
Multidimensional Shocks . . . . . . . . 142--172
Teresa Faria and
Wenzhang Huang and
Jianhong Wu Smoothness of Center Manifolds for Maps
and Formal Adjoints for Semilinear FDEs
in General Banach Spaces . . . . . . . . 173--203
Georg Hetzer and
Wenxian Shen Uniform Persistence, Coexistence, and
Extinction in Almost
Periodic/Nonautonomous Competition
Diffusion Systems . . . . . . . . . . . 204--227
David Eschwé and
Heinz Langer Triple Variational Principles for
Eigenvalues of Self-Adjoint Operators
and Operator Functions . . . . . . . . . 228--238
Shijin Ding and
Qiang Du Critical Magnetic Field and Asymptotic
Behavior of Superconducting Thin Films 239--256
Philippe Laurençot The Lifshitz--Slyozov--Wagner Equation
with Conserved Total Volume . . . . . . 257--272
Tao Pan and
Hongxia Liu and
Kenji Nishihara Asymptotic Behavior of a One-Dimensional
Compressible Viscous Gas with Free
Boundary . . . . . . . . . . . . . . . . 273--291
E. N. Dancer and
Yihong Du Effects of Certain Degeneracies in the
Predator-Prey Model . . . . . . . . . . 292--314
Frank Jochmann Existence of Solutions and a
Quasi-Stationary Limit for a Hyperbolic
System Describing Ferromagnetism . . . . 315--340
Woonjae Hwang and
W. Brent Lindquist The $2$-Dimensional Riemann Problem for
a $ 2 \times 2$ Hyperbolic Conservation
Law I. Isotropic Media . . . . . . . . . 341--358
Woonjae Hwang and
W. Brent Lindquist The $2$-Dimensional Riemann Problem for
a $ 2 \times 2$ Hyperbolic Conservation
Law II. Anisotropic Media . . . . . . . 359--384
Leonid Berlyand and
Alexei Novikov Error of the Network Approximation for
Densely Packed Composites with Irregular
Geometry . . . . . . . . . . . . . . . . 385--408
Pavel Krejcí and
Jürgen Sprekels and
Ulisse Stefanelli Phase-Field Models with Hysteresis in
One-Dimensional Thermoviscoplasticity 409--434
Wee Keong Lim and
Gustavo Ponce On the Initial Value Problem for the One
Dimensional Quasi-Linear Schrödinger
Equations . . . . . . . . . . . . . . . 435--459
Dorin Bucur and
Nicolas Varchon A Duality Approach for the Boundary
Variation of Neumann Problems . . . . . 460--477
María J. Cáceres and
José A. Carrillo and
Jean Dolbeault Nonlinear Stability in $ L^p $ for a
Confined System of Charged Particles . . 478--494
Carsten Carstensen and
Stefan Müller Local Stress Regularity in Scalar
Nonconvex Variational Problems . . . . . 495--509
Sungwhan Kim and
Ohin Kwon and
Jin Keun Seo and
Jeong-Rock Yoon On a Nonlinear Partial Differential
Equation Arising in Magnetic Resonance
Electrical Impedance Tomography . . . . 511--526
Michael S. Gordon A Free Boundary Problem for a
Hypoplastic Model of Plane Shear Waves
in a Fully Saturated Granular Material 527--554
Shinya Nishibata Asymptotic Stability of Traveling Waves
to a Certain Discrete Velocity Model of
the Boltzmann Equation in the Half Space 555--572
H. Lim Time Discretization of Transition Layer
Dynamics in One-Dimensional Viscoelastic
Systems . . . . . . . . . . . . . . . . 573--594
Feimin Huang and
Zhen Wang Convergence of Viscosity Solutions for
Isothermal Gas Dynamics . . . . . . . . 595--610
Raimund Bürger and
Hermano Frid and
Kenneth H. Karlsen On a Free Boundary Problem for a
Strongly Degenerate Quasi-Linear
Parabolic Equation with an Application
to a Model of Pressure Filtration . . . 611--635
Karen Barrailh and
David Lannes A General Framework for Diffractive
Optics and Its Applications to Lasers
with Large Spectrums and Short Pulses 636--674
Jiequan Li and
Peng Zhang The Transition from Zeldovich--von
Neumann--Doring to Chapman--Jouguet
Theories for a Nonconvex Scalar
Combustion Model . . . . . . . . . . . . 675--699
Ping Zhang Wigner Measure and the Semiclassical
Limit of Schrödinger--Poisson Equations 700--718
Hyeonbae Kang and
KiHyun Yun Boundary Determination of Conductivities
and Riemannian Metrics via Local
Dirichlet-to-Neumann Operator . . . . . 719--735
J. G. B. Byatt-Smith and
H. W. Braden Functional Equations and Poincaré
Invariant Mechanical Systems . . . . . . 736--758
M. Klaus and
J. K. Shaw On the Eigenvalues of Zakharov--Shabat
Systems . . . . . . . . . . . . . . . . 759--773
Harumi Hattori The Existence and Large Time Behavior of
Solutions to a System Related to a Phase
Transition Problem . . . . . . . . . . . 774--804
Rolando Magnanini and
Giorgio Talenti On Complex-Valued Solutions to a
Two-Dimensional Eikonal Equation. II.
Existence Theorems . . . . . . . . . . . 805--835
Lihong Huang and
Jianhong Wu Nonlinear Waves in Networks of Neurons
with Delayed Feedback: Pattern Formation
and Continuation . . . . . . . . . . . . 836--860
C. M. Elliott and
Y. Giga and
S. Goto Dynamic Boundary Conditions for
Hamilton--Jacobi Equations . . . . . . . 861--881
Habib Ammari and
Ekaterina Iakovleva and
Shari Moskow Recovery of Small Inhomogeneities from
the Scattering Amplitude at a Fixed
Frequency . . . . . . . . . . . . . . . 882--900
Kirill Kopotun and
Alexei Shadrin On $k$-Monotone Approximation by Free
Knot Splines . . . . . . . . . . . . . . 901--924
Gui-Qiang Chen and
Hailiang Liu Formation of $ \delta $-Shocks and
Vacuum States in the Vanishing Pressure
Limit of Solutions to the Euler
Equations for Isentropic Fluids . . . . 925--938
Etienne Sandier and
Sylvia Serfaty The Decrease of Bulk-Superconductivity
Close to the Second Critical Field in
the Ginzburg--Landau Model . . . . . . . 939--956
Xing-Bin Pan Superconducting Films in Perpendicular
Fields and the Effect of the de Gennes
Parameter . . . . . . . . . . . . . . . 957--991
Günther Grün Droplet Spreading Under Weak Slippage: A
Basic Result on Finite Speed of
Propagation . . . . . . . . . . . . . . 992--1006
Barnabas M. Garay and
Josef Hofbauer Robust Permanence for Ecological
Differential Equations, Minimax, and
Discretizations . . . . . . . . . . . . 1007--1039
David Hoff and
Mohammed Ziane Finite-Dimensional Attractors and
Exponential Attractors for the
Navier--Stokes Equations of Compressible
Flow . . . . . . . . . . . . . . . . . . 1040--1063
Jens Frehse and
Josef Málek and
Mark Steinhauer On Analysis of Steady Flows of Fluids
with Shear-Dependent Viscosity Based on
the Lipschitz Truncation Method . . . . 1064--1083
Yunmei Chen and
Murali Rao Minimization Problems and Associated
Flows Related to Weighted $p$ Energy and
Total Variation . . . . . . . . . . . . 1084--1104
FangHua Lin and
Tai-Chia Lin Vortices in $p$-Wave Superconductivity 1105--1127
Grégory Vuillaume Study of the Buckling of a Tapered Rod
with the Genus of a Set . . . . . . . . 1128--1151
Habib Ammari and
Hyeonbae Kang High-Order Terms in the Asymptotic
Expansions of the Steady-State Voltage
Potentials in the Presence of
Conductivity Inhomogeneities of Small
Diameter . . . . . . . . . . . . . . . . 1152--1166
N. V. Krylov Brownian Trajectory Is a Regular Lateral
Boundary for the Heat Equation . . . . . 1167--1182
S. Crépey Calibration of the Local Volatility in a
Generalized Black--Scholes Model Using
Tikhonov Regularization . . . . . . . . 1183--1206
Kewei Zhang Neighborhoods of Parallel Wells in Two
Dimensions That Separate Gradient Young
Measures . . . . . . . . . . . . . . . . 1207--1225
Seung-Yeal Ha and
Tong Yang $ L^1 $ Stability for Systems of
Hyperbolic Conservation Laws with a
Resonant Moving Source . . . . . . . . . 1226--1251
Javier Villarroel and
Mark J. Ablowitz On the Discrete Spectrum of Systems in
the Plane and the Davey--Stewartson II
Equation . . . . . . . . . . . . . . . . 1253--1278
Qiang Du and
Ping Zhang Existence of Weak Solutions to Some
Vortex Density Models . . . . . . . . . 1279--1299
Charalambos Makridakis and
Beno\^\it Perthame Optimal Rate of Convergence for
Anisotropic Vanishing Viscosity Limit of
a Scalar Balance Law . . . . . . . . . . 1300--1307
Tohru Nakamura Asymptotic Decay toward the Rarefaction
Waves of Solutions for Viscous
Conservation Laws in a One-Dimensional
Half Space . . . . . . . . . . . . . . . 1308--1317
Takayoshi Ogawa Sharp Sobolev Inequality of Logarithmic
Type and the Limiting Regularity
Condition to the Harmonic Heat Flow . . 1318--1330
Feimin Huang and
Akitaka Matsumura and
Xiaoding Shi A Gas-Solid Free Boundary Problem for a
Compressible Viscous Gas . . . . . . . . 1331--1355
J.-G. Caputo and
N. Flytzanis and
A. Tersenov and
E. Vavalis Analysis of a Semilinear PDE for
Modeling Static Solutions of Josephson
Junctions . . . . . . . . . . . . . . . 1356--1379
Marc Oliver Rieger Young Measure Solutions for Nonconvex
Elastodynamics . . . . . . . . . . . . . 1380--1398
Miroslaw Lachowicz and
Philippe Laurençot and
Dariusz Wrzosek On the Oort--Hulst--Safronov Coagulation
Equation and Its Relation to the
Smoluchowski Equation . . . . . . . . . 1399--1421
Ugur G. Abdulla First Boundary Value Problem for the
Diffusion Equation I. Iterated Logarithm
Test for the Boundary Regularity and
Solvability . . . . . . . . . . . . . . 1422--1434
Daniel Spirn Vortex Motion Law for the
Schrödinger--Ginzburg--Landau Equations 1435--1476
Deborah Alterman and
Jeffrey Rauch Diffractive Nonlinear Geometric Optics
for Short Pulses . . . . . . . . . . . . 1477--1502
Xiaofeng Ren and
Juncheng Wei On the Spectra of Three-Dimensional
Lamellar Solutions of the Diblock
Copolymer Problem . . . . . . . . . . . 1--32
Marc Briane Homogenization of High-Conductivity
Periodic Problems: Application to a
General Distribution of One-Directional
Fibers . . . . . . . . . . . . . . . . . 33--60
Sigurd Angenent and
Steven Haker and
Allen Tannenbaum Minimizing Flows for the
Monge--Kantorovich Problem . . . . . . . 61--97
Tao Tang and
Zhen-Huan Teng and
Zhouping Xin Fractional Rate of Convergence for
Viscous Approximation to Nonconvex
Conservation Laws . . . . . . . . . . . 98--122
Xinfu Chen and
Y. W. Qi and
Mingxin Wang Long Time Behavior of Solutions to
$P$-Laplacian Equation with Absorption 123--134
Diogo Aguiar Gomes Perturbation Theory for Viscosity
Solutions of Hamilton--Jacobi Equations
and Stability of Aubry--Mather Sets . . 135--147
Sungwhan Kim and
Masahiro Yamamoto Uniqueness in Identification of the
Support of a Source Term in an Elliptic
Equation . . . . . . . . . . . . . . . . 148--159
Zhonghai Ding Traveling Waves in a Suspension Bridge
System . . . . . . . . . . . . . . . . . 160--171
M. I. Belishev The Calderon Problem for Two-Dimensional
Manifolds by the BC-Method . . . . . . . 172--182
Thorsten Hohage and
Frank Schmidt and
Lin Zschiedrich Solving Time-Harmonic Scattering
Problems Based on the Pole Condition I:
Theory . . . . . . . . . . . . . . . . . 183--210
David M. Ambrose Well-Posedness of Vortex Sheets with
Surface Tension . . . . . . . . . . . . 211--244
M. Bertsch and
R. Dal Passo and
C. J. Van Duijn Analysis of Oil Trapping in Porous Media
Flow . . . . . . . . . . . . . . . . . . 245--267
Éric Dumas An Example of Catastrophic Self-Focusing
in Nonlinear Optics? . . . . . . . . . . 268--278
Albert Cohen and
Wolfgang Dahmen and
Ronald Devore Sparse Evaluation of Compositions of
Functions Using Multiscale Expansions 279--303
Gen Nakamura and
Jenn-Nan Wang Unique Continuation for an Elasticity
System with Residual Stress and Its
Applications . . . . . . . . . . . . . . 304--317
Zhiwu Lin Instability of Some Ideal Plane Flows 318--356
Maria E. Schonbek and
Tomas P. Schonbek Asymptotic Behavior to Dissipative
Quasi-Geostrophic Flows . . . . . . . . 357--375
E. Casella On the Existence of a Weak Solution to a
Two-Dimensional Free-Boundary Problem
with a Nonlinear Flux Condition . . . . 376--388
G. Al\`\i Global Existence of Smooth Solutions of
the $N$-Dimensional Euler--Poisson Model 389--422
J. M. de Villiers and
K. M. Goosen and
B. M. Herbst Dubuc--Deslauriers Subdivision for
Finite Sequences and Interpolation
Wavelets on an Interval . . . . . . . . 423--452
V. Hutson and
Y. Lou and
K. Mischaikow and
P. Polácik Competing Species near a Degenerate
Limit . . . . . . . . . . . . . . . . . 453--491
Frederic Rousset Viscous Approximation of Strong Shocks
of Systems of Conservation Laws . . . . 492--519
Peter W. Bates and
Xinfu Chen and
Adam J. J. Chmaj Traveling Waves of Bistable Dynamics on
a Lattice . . . . . . . . . . . . . . . 520--546
Thorsten Hohage and
Frank Schmidt and
Lin Zschiedrich Solving Time-Harmonic Scattering
Problems Based on the Pole Condition II:
Convergence of the PML Method . . . . . 547--560
Gonzalo Galiano and
Ansgar Jüngel and
Julián Velasco A Parabolic Cross-Diffusion System for
Granular Materials . . . . . . . . . . . 561--578
Andrea Pascucci and
Sergio Polidoro On the Cauchy Problem for a Nonlinear
Kolmogorov Equation . . . . . . . . . . 579--595
Eduardo Liz and
Victor Tkachenko and
Sergei Trofimchuk A Global Stability Criterion for Scalar
Functional Differential Equations . . . 596--622
Brody Dylan Johnson On the Oversampling of Affine Wavelet
Frames . . . . . . . . . . . . . . . . . 623--638
S. Benzoni-Gavage and
P. Huot and
F. Rousset Nonlinear Stability of Semidiscrete
Shock Waves . . . . . . . . . . . . . . 639--707
Oleg Davydov and
Pencho Petrushev Nonlinear Approximation from
Differentiable Piecewise Polynomials . . 708--758
Massimiliano Morini Sequences of Singularly Perturbed
Functionals Generating
Free-Discontinuity Problems . . . . . . 759--805
Stephen A. Gourley and
Shigui Ruan Convergence and Travelling Fronts in
Functional Differential Equations with
Nonlocal Terms: A Competition Model . . 806--822
Rémi Carles Nonlinear Schrödinger Equations with
Repulsive Harmonic Potential and
Applications . . . . . . . . . . . . . . 823--843
Jinzhi Lei and
Xiong Li and
Ping Yan and
Meirong Zhang Twist Character of the Least Amplitude
Periodic Solution of the Forced Pendulum 844--867
Valeria Banica Dispersion and Strichartz Inequalities
for Schrödinger Equations with Singular
Coefficients . . . . . . . . . . . . . . 868--883
Xiao-Biao Lin and
Stephen Schecter Stability of Self-Similar Solutions of
the Dafermos Regularization of a System
of Conservation Laws . . . . . . . . . . 884--921
M. Bostan Permanent Regimes for the $1$D
Vlasov--Poisson System with Boundary
Conditions . . . . . . . . . . . . . . . 922--948
P. Bagnerini and
M. Rascle A Multiclass Homogenized Hyperbolic
Model of Traffic Flow . . . . . . . . . 949--973
Xinfu Chen and
Avner Friedman A Free Boundary Problem for an
Elliptic-Hyperbolic System: An
Application to Tumor Growth . . . . . . 974--986
Maria Carmela Lombardo and
Marco Cannone and
Marco Sammartino Well-Posedness of the Boundary Layer
Equations . . . . . . . . . . . . . . . 987--1004
Juan L. Vázquez Darcy's Law and the Theory of Shrinking
Solutions of Fast Diffusion Equations 1005--1028
Hermano Frid and
Vladimir Shelukhin A Quasi-linear Parabolic System for
Three-Phase Capillary Flow in Porous
Media . . . . . . . . . . . . . . . . . 1029--1041
Tetsu Mizumachi Weak Interaction between Solitary Waves
of the Generalized KdV Equations . . . . 1042--1080
Xiangsheng Xu On the Effects of Thermal Degeneracy in
the Thermistor Problem . . . . . . . . . 1081--1098
David Swanson and
William P. Ziemer The Image of a Weakly Differentiable
Mapping . . . . . . . . . . . . . . . . 1099--1109
Rob Stevenson On the Compressibility of Operators in
Wavelet Coordinates . . . . . . . . . . 1110--1132
Laurent Thevenot On the Optimization of the Fuel
Distribution in a Nuclear Reactor . . . 1133--1159
Andrea Sacchetti Nonlinear Time-Dependent One-Dimensional
Schrödinger Equation with Double-Well
Potential . . . . . . . . . . . . . . . 1160--1176
Martin Costabel and
Monique Dauge and
Zohar Yosibash A Quasi-Dual Function Method for
Extracting Edge Stress Intensity
Functions . . . . . . . . . . . . . . . 1177--1202
S. Dekel and
D. Leviatan The Bramble--Hilbert Lemma for Convex
Domains . . . . . . . . . . . . . . . . 1203--1212
David Finch and
Sarah K. Patch and
Rakesh Determining a Function from Its Mean
Values Over a Family of Spheres . . . . 1213--1240
Stephen B. Robinson On The Second Eigenvalue For
Nonhomogeneous Quasi-linear Operators 1241--1249
R. Mikulevicius and
B. L. Rozovskii Stochastic Navier--Stokes Equations for
Turbulent Flows . . . . . . . . . . . . 1250--1310
Montserrat Corbera and
Jaume Llibre Families of Periodic Orbits for the
Spatial Isosceles $3$-Body Problem . . . 1311--1346
M. Laforest A Posteriori Error Estimate for
Front-Tracking: Systems of Conservation
Laws . . . . . . . . . . . . . . . . . . 1347--1370
Jin Cheng and
Masahiro Yamamoto Determination of Two Convection
Coefficients from Dirichlet to Neumann
Map in the Two-Dimensional Case . . . . 1371--1393
Giovanna Citti and
Maria Manfredini and
Alessandro Sarti Neuronal Oscillations in the Visual
Cortex: $ {\Gamma } $-Convergence to the
Riemannian Mumford--Shah Functional . . 1394--1419
Arjen Doelman and
David Iron and
Yasumasa Nishiura Destabilization of Fronts in a Class of
Bistable Systems . . . . . . . . . . . . 1420--1450
Jae Ryong Kweon and
R. Bruce Kellogg Regularity of Solutions to the
Navier--Stokes System for Compressible
Flows on a Polygon . . . . . . . . . . . 1451--1485
Jamison T. Moeser and
Christopher K. R. T. Jones and
Vadim Zharnitsky Stable Pulse Solutions for the Nonlinear
Schrödinger Equation with Higher Order
Dispersion Management . . . . . . . . . 1486--1511
Shui Feng and
Ilie Grigorescu and
Jeremy Quastel Diffusive Scaling Limits of Mutually
Interacting Particle Systems . . . . . . 1512--1533
R. Z. Khasminskii and
G. Yin On Averaging Principles: An Asymptotic
Expansion Approach . . . . . . . . . . . 1534--1560
Kenji Nishihara and
Tong Yang and
Huijiang Zhao Nonlinear Stability of Strong
Rarefaction Waves for Compressible
Navier--Stokes Equations . . . . . . . . 1561--1597
Y. Amirat and
O. Bodart and
U. De Maio and
A. Gaudiello Asymptotic Approximation of the Solution
of the Laplace Equation in a Domain with
Highly Oscillating Boundary . . . . . . 1598--1616
Yan Guo and
Chi-Wang Shu and
Tie Zhou The Dynamics of a Plane Diode . . . . . 1617--1635
Kyungkeun Kang Regularity of Axially Symmetric Flows in
a Half-Space in Three Dimensions . . . . 1636--1643
Roberto Alicandro and
Marco Cicalese A General Integral Representation Result
for Continuum Limits of Discrete
Energies with Superlinear Growth . . . . 1--37
J. B. Greer and
A. L. Bertozzi Traveling Wave Solutions of Fourth Order
PDEs for Image Processing . . . . . . . 38--68
Carlo D. Pagani and
Dario Pierotti The Subcritical Motion of a
Semisubmerged Body: Solvability of the
Free Boundary Problem . . . . . . . . . 69--93
Ulisses Braga-Neto and
John Goutsias Supremal Multiscale Signal Analysis . . 94--120
Hyung Ju Hwang Regularity for the Vlasov--Poisson
System in a Convex Domain . . . . . . . 121--171
J. Fernández Bonder and
N. Wolanski Uniqueness of Limit Solutions to a Free
Boundary Problem from Combustion . . . . 172--185
Giovanni Pisante Sufficient Conditions for the Existence
of Viscosity Solutions for Nonconvex
Hamiltonians . . . . . . . . . . . . . . 186--203
Diego Córdoba and
Charles Fefferman and
Rafael de la Llave On Squirt Singularities in Hydrodynamics 204--213
C. Imbert and
J. Vovelle A Kinetic Formulation for
Multidimensional Scalar Conservation
Laws with Boundary Conditions and
Applications . . . . . . . . . . . . . . 214--232
Junxiang Xu Normal Form of Reversible Systems and
Persistence of Lower Dimensional Tori
under Weaker Nonresonance Conditions . . 233--255
John V. Matthews and
David G. Schaeffer A Well-Posed Free Boundary Value Problem
for a Hyperbolic Equation with Dirichlet
Boundary Conditions . . . . . . . . . . 256--271
Zhaoyang Yin On the Structure of Solutions to the
Periodic Hunter--Saxton Equation . . . . 272--283
Francis J. Narcowich and
Joseph D. Ward Scattered-Data Interpolation on $
\mathbb {R}^n $: Error Estimates for
Radial Basis and Band-Limited Functions 284--300
Li Chen and
Ansgar Jüngel Analysis of a Multidimensional Parabolic
Population Model with Strong
Cross-Diffusion . . . . . . . . . . . . 301--322
Louis H. Y. Chen and
Tim N. T. Goodman and
S. L. Lee Asymptotic Normality of Scaling
Functions . . . . . . . . . . . . . . . 323--346
Fabricio Maci\`a Wigner Measures in the Discrete Setting:
High-Frequency Analysis of Sampling and
Reconstruction Operators . . . . . . . . 347--383
Alexander Mielke Existence of Minimizers in Incremental
Elasto-Plasticity with Finite Strains 384--404
Mostafa Bendahmane and
Kenneth H. Karlsen Renormalized Entropy Solutions for
Quasi-linear Anisotropic Degenerate
Parabolic Equations . . . . . . . . . . 405--422
Pablo Pedregal $ {\Gamma } $-Convergence through Young
Measures . . . . . . . . . . . . . . . . 423--440
George Kyriazis Multilevel Characterizations of
Anisotropic Function Spaces . . . . . . 441--462
Takao Hanada and
Naoyuki Ishimura and
Masaaki Nakamura On the Eguchi--Oki--Matsumura Equation
for Phase Separation in One Space
Dimension . . . . . . . . . . . . . . . 463--478
Yoshihito Oshita Stable Stationary Patterns and
Interfaces Arising in Reaction-Diffusion
Systems . . . . . . . . . . . . . . . . 479--497
Feimin Huang and
Akitaka Matsumura and
Xiaoding Shi Viscous Shock Wave to a Gas-Solid Free
Boundary Problem for Compressible Gas 498--522
Monica Torres Plane-Like Minimal Surfaces in Periodic
Media with Exclusions . . . . . . . . . 523--551
Hitoshi Ishii and
Toshio Mikami Convexified Gauss Curvature flow of
Sets: A Stochastic Approximation . . . . 552--579
Chiu-Ya Lan and
Huey-Er Lin and
Tai-Ping Liu and
Shih-Hsien Yu Propagation of Viscous Shock Waves Away
from the Boundary . . . . . . . . . . . 580--617
Kyeong-Hun Kim and
N. V. Krylov On The Sobolev Space Theory of Parabolic
and Elliptic Equations in $ C^1 $
Domains . . . . . . . . . . . . . . . . 618--642
Jan Janas and
Serguei Naboko Infinite Jacobi Matrices with Unbounded
Entries: Asymptotics of Eigenvalues and
the Transformation Operator Approach . . 643--658
Alberto Bressan and
Tong Yang A Sharp Decay Estimate for Positive
Nonlinear Waves . . . . . . . . . . . . 659--677
Ricardo Riaza Attraction Domains of Degenerate
Singular Equilibria in Quasi-linear ODEs 678--690
Andrea Dall'Aglio and
Daniela Giachetti and
Ireneo Peral Results on Parabolic Equations Related
to Some Caffarelli--Kohn--Nirenberg
Inequalities . . . . . . . . . . . . . . 691--716
Tibor Krisztin Invariance and Noninvariance of Center
Manifolds of Time- $t$ Maps with Respect
to the Semiflow . . . . . . . . . . . . 717--739
Klaus Fleischmann and
Carl Mueller Super-Brownian Motion with Extra Birth
at One Point . . . . . . . . . . . . . . 740--772
Richard F. Bass and
Karlheinz Gröchenig Random Sampling of Multivariate
Trigonometric Polynomials . . . . . . . 773--795
Didier Bresch and
Alexandre Kazhikhov and
Jérôme Lemoine On the Two-Dimensional Hydrostatic
Navier--Stokes Equations . . . . . . . . 796--814
A. De Bouard and
A. Debussche and
Y. Tsutsumi Periodic Solutions of the Korteweg--de
Vries Equation Driven by White Noise . . 815--855
Thierry Goudon and
Frédéric Poupaud Homogenization of Transport Equations:
Weak Mean Field Approximation . . . . . 856--881
Alessandro Bertuzzi and
Antonio Fasano and
Alberto Gandolfi A Free Boundary Problem with Unilateral
Constraints Describing the Evolution of
a Tumor Cord Under the Influence of Cell
Killing Agents . . . . . . . . . . . . . 882--915
Yasumasa Nishiura and
Hiromasa Suzuki Higher Dimensional SLEP Equation and
Applications to Morphological Stability
in Polymer Problems . . . . . . . . . . 916--966
Michael Kurth On the Existence of Infinitely Many
Modes of a Nonlocal Nonlinear Schrödinger
Equation Related to Dispersion-Managed
Solitons . . . . . . . . . . . . . . . . 967--985
Naoufel Ben Abdallah and
Florian Méhats and
Olivier Pinaud Adiabatic Approximation of the
Schrödinger--Poisson System with a
Partial Confinement . . . . . . . . . . 986--1013
Jiahong Wu Global Solutions of the 2D Dissipative
Quasi-Geostrophic Equation in Besov
Spaces . . . . . . . . . . . . . . . . . 1014--1030
Harald Garcke and
Kazuo Ito and
Yoshihito Kohsaka Linearized Stability Analysis of
Stationary Solutions for Surface
Diffusion with Boundary Conditions . . . 1031--1056
Arshak Petrosyan and
Enrico Valdinoci Density Estimates for a
Degenerate/Singular Phase-Transition
Model . . . . . . . . . . . . . . . . . 1057--1079
B. Buffoni and
É. Séré and
J. F. Toland Minimization Methods for Quasi-Linear
Problems with an Application to Periodic
Water Waves . . . . . . . . . . . . . . 1080--1094
Giovanni Bellettini and
Vicent Caselles and
Matteo Novaga Explicit Solutions of the Eigenvalue
Problem $ d i v \left (\frac {Du \vert }
D u \vert \right) = u $ in $ {R}^2 $ . . 1095--1129
M. C. Lopes Filho and
H. J. Nussenzveig Lopes and
G. Planas On the Inviscid Limit for
Two-Dimensional Incompressible Flow with
Navier Friction Condition . . . . . . . 1130--1141
Steven Kusiak and
John Sylvester The Convex Scattering Support in a
Background Medium . . . . . . . . . . . 1142--1158
Isabelle Gallagher and
Laure Saint-Raymond On Pressureless Gases Driven by a Strong
Inhomogeneous Magnetic Field . . . . . . 1159--1176
Hyung Ju Hwang and
Kyungkeun Kang and
Angela Stevens Global Solutions of Nonlinear Transport
Equations for Chemosensitive Movement 1177--1199
A. Glitzky and
R. Hünlich Global Existence Result for Pair
Diffusion Models . . . . . . . . . . . . 1200--1225
Gianni Arioli and
Filippo Gazzola and
Hans-Christoph Grunau and
Enzo Mitidieri A Semilinear Fourth Order Elliptic
Problem with Exponential Nonlinearity 1226--1258
Jens Frehse and
Sonja Goj and
Josef Málek On a Stokes-Like System for Mixtures of
Fluids . . . . . . . . . . . . . . . . . 1259--1281
Luca Rondi Optimal Stability of Reconstruction of
Plane Lipschitz Cracks . . . . . . . . . 1282--1292
Giuseppe Maria Coclite and
Nils Henrik Risebro Conservation Laws with Time Dependent
Discontinuous Coefficients . . . . . . . 1293--1309
Pierpaolo Esposito Blowup Solutions for a Liouville
Equation with Singular Data . . . . . . 1310--1345
Marta Lewicka Stability Conditions for Strong
Rarefaction Waves . . . . . . . . . . . 1346--1369
Marta Lewicka Lyapunov Functional for Solutions of
Systems of Conservation Laws Containing
a Strong Rarefaction . . . . . . . . . . 1371--1399
Gary M. Lieberman Bounds for the Steady-State Sel'kov
Model for Arbitrary $p$ in Any Number of
Dimensions . . . . . . . . . . . . . . . 1400--1406
Hermano Frid and
Vladimir Shelukhin Initial Boundary Value Problems for a
Quasi-linear Parabolic System in
Three-Phase Capillary Flow in Porous
Media . . . . . . . . . . . . . . . . . 1407--1425
Borislav Yordanov and
Qi S. Zhang Finite-Time Blowup for Wave Equations
with a Potential . . . . . . . . . . . . 1426--1433
Guy Katriel Existence of Travelling Waves in
Discrete Sine-Gordon Rings . . . . . . . 1434--1443
Gongbao Li and
Shusen Yan and
Jianfu Yang An Elliptic Problem Related to Planar
Vortex Pairs . . . . . . . . . . . . . . 1444--1460
R. E. Beardmore and
M. A. Peletier and
C. J. Budd and
M. Ahmer Wadee Bifurcations of Periodic Solutions
Satisfying the Zero-Hamiltonian
Constraint in Reversible Differential
Equations . . . . . . . . . . . . . . . 1461--1488
Ben Schweizer Laws for the Capillary Pressure in a
Deterministic Model for Fronts in Porous
Media . . . . . . . . . . . . . . . . . 1489--1521
Bernhard Lani-Wayda and
Klaus R. Schneider Delayed Loss of Stability in
Nonautonomous Differential Equations
With Retarded Argument . . . . . . . . . 1522--1539
Giuseppe Mingione and
Domenico Mucci Integral Functionals and the Gap
Problem: Sharp Bounds for Relaxation and
Energy Concentration . . . . . . . . . . 1540--1579
Leonid Berlyand and
Liliana Borcea and
Alexander Panchenko Network Approximation for Effective
Viscosity of Concentrated Suspensions
with Complex Geometry . . . . . . . . . 1580--1628
Govind Menon and
Robert L. Pego Dynamical Scaling in Smoluchowski's
Coagulation Equations: Uniform
Convergence . . . . . . . . . . . . . . 1629--1651
Lukas Neumann and
Christian Schmeiser Convergence to Global Equilibrium for a
Kinetic Fermion Model . . . . . . . . . 1652--1663
Thierry Colin and
Gérard Gallice and
Karen Laurioux Intermediate Models in Nonlinear Optics 1664--1688
Jong Uhn Kim Invariant Measures for the Stochastic
von Karman Plate Equation . . . . . . . 1689--1703
Kyungkeun Kang and
Seick Kim Erratum: On the Hölder Continuity of
Solutions of a Certain System Related to
Maxwell's Equations . . . . . . . . . . 1704--1705
Dingbian Qian and
Pedro J. Torres Periodic Motions of Linear Impact
Oscillators via the Successor Map . . . 1707--1725
S. Lafortune and
J. Lega Spectral Stability of Local Deformations
of an Elastic Rod: Hamiltonian Formalism 1726--1741
Michael I. Weinstein and
Vadim Zharnitsky A Reaction Dispersion System and Raman
Interactions . . . . . . . . . . . . . . 1742--1771
Kai Medville and
Michael Vogelius Blow-up Behavior of Planar Harmonic
Functions Satisfying a Certain
Exponential Neumann Boundary Condition 1772--1806
F. Berthelin and
A. Vasseur From Kinetic Equations to
Multidimensional Isentropic Gas Dynamics
Before Shocks . . . . . . . . . . . . . 1807--1835
C. A. Morales and
M. J. Pacifico and
B. San Martin Expanding Lorenz Attractors through
Resonant Double Homoclinic Loops . . . . 1836--1861
G. M. Coclite and
M. Garavello and
B. Piccoli Traffic Flow on a Road Network . . . . . 1862--1886
Alessandro Giacomini Size Effects on Quasi-Static Growth of
Cracks . . . . . . . . . . . . . . . . . 1887--1928
Dung Le Regularity of Solutions to a Class of
Cross Diffusion Systems . . . . . . . . 1929--1942
A. Garroni and
S. Müller $ {\Gamma } $-Limit of a Phase-Field
Model of Dislocations . . . . . . . . . 1943--1964
Zhenguo Liang and
Jiangong You Quasi-Periodic Solutions for $1$D
Schrödinger Equations with Higher Order
Nonlinearity . . . . . . . . . . . . . . 1965--1990
María Teresa González Montesinos and
Francisco Ortegón Gallego Renormalized Solutions to a Nonlinear
Parabolic-Elliptic System . . . . . . . 1991--2003
Piotr Rybka and
Mitchell Luskin Existence of Energy Minimizers for
Magnetostrictive Materials . . . . . . . 2004--2019
Toyohiko Aiki and
Emil Minchev A Prey-Predator Model with Hysteresis
Effect . . . . . . . . . . . . . . . . . 2020--2032
Giancarlo Sangalli A Uniform Analysis of Nonsymmetric and
Coercive Linear Operators . . . . . . . 2033--2048
Marta Macr\`\i and
Margherita Nolasco and
Tonia Ricciardi Asymptotics for Selfdual Vortices on the
Torus and on the Plane: A Gluing
Technique . . . . . . . . . . . . . . . 1--16
Alain Trouvé and
Laurent Younes Local Geometry of Deformable Templates 17--59
Eric Canc\`es and
Isabelle Catto and
Yousra Gati Mathematical Analysis of a Nonlinear
Parabolic Equation Arising in the
Modelling of Non-Newtonian Flows . . . . 60--82
Dario Bambusi and
Massimiliano Berti A Birkhoff--Lewis-Type Theorem for Some
Hamiltonian PDEs . . . . . . . . . . . . 83--102
Christian Rohde Scalar Conservation Laws with Mixed
Local and Nonlocal Diffusion-Dispersion
Terms . . . . . . . . . . . . . . . . . 103--129
Ulisse Stefanelli Analysis of a Thermomechanical Model for
Shape Memory Alloys . . . . . . . . . . 130--155
M. Bostan Existence and Uniqueness of the Mild
Solution for the 1D Vlasov--Poisson
Initial-Boundary Value Problem . . . . . 156--188
Naoufel Ben Abdallah and
Florian Méhats and
Christian Schmeiser and
Rada M. Weishäupl The Nonlinear Schrödinger Equation with a
Strongly Anisotropic Harmonic Potential 189--199
G. Alessandrini and
M. Di Cristo. Stable Determination of an Inclusion by
Boundary Measurements . . . . . . . . . 200--217
Charles A. Stuart and
Huan-Song Zhou Axisymmetric TE-Modes in a Self-focusing
Dielectric . . . . . . . . . . . . . . . 218--237
Borislav Bojanov and
Yuan Xu Reconstruction of a Polynomial from Its
Radon Projections . . . . . . . . . . . 238--250
Pierre Magal and
Xiao-Qiang Zhao Global Attractors and Steady States for
Uniformly Persistent Dynamical Systems 251--275
Frank Jochmann Asymptotic Behavior of the
Electromagnetic Field for a
Micromagnetism Equation without Exchange
Energy . . . . . . . . . . . . . . . . . 276--290
Matthias Röger Existence of Weak Solutions for the
Mullins--Sekerka Flow . . . . . . . . . 291--301
Bei Hu and
David P. Nicholls Analyticity of Dirichlet--Neumann
Operators on Hölder and Lipschitz Domains 302--320
Teresa D'Aprile and
Juncheng Wei On Bound States Concentrating on Spheres
for the Maxwell--Schrödinger Equation . . 321--342
Marc Briane and
Juan Casado-Díaz Lack of Compactness in Two-Scale
Convergence . . . . . . . . . . . . . . 343--346
Shibin Dai and
Robert L. Pego Universal Bounds on Coarsening Rates for
Mean-Field Models of Phase Transitions 347--371
Matthias Günther and
Georg Prokert On a Hele--Shaw-Type Domain Evolution
with Convected Surface Energy Density 372--410
Hitoshi Ishii and
Paola Loreti Limits of Solutions of $p$-Laplace
Equations as $p$ Goes to Infinity and
Related Variational Problems . . . . . . 411--437
R. Kaiser and
A. Tilgner and
W. von Wahl A Generalized Energy Functional for
Plane Couette Flow . . . . . . . . . . . 438--454
Xiaofeng Ren and
Juncheng Wei Wriggled Lamellar Solutions and Their
Stability in the Diblock Copolymer
Problem . . . . . . . . . . . . . . . . 455--489
J. I. Díaz and
M. Lazzo and
P. G. Schmidt Large Solutions for a System of Elliptic
Equations Arising from Fluid Dynamics 490--513
Giuseppe Buttazzo and
Filippo Santambrogio A Model for the Optimal Planning of an
Urban Area . . . . . . . . . . . . . . . 514--530
Philippe Laurençot and
Christoph Walker Steady States for a
Coagulation-Fragmentation Equation with
Volume Scattering . . . . . . . . . . . 531--548
Jérémie Szeftel Microlocal Dispersive Smoothing for the
Nonlinear Schrödinger Equation . . . . . 549--597
Simon N. Chandler-Wilde and
Peter Monk Existence, Uniqueness, and Variational
Methods for Scattering by Unbounded
Rough Surfaces . . . . . . . . . . . . . 598--618
Eduard Feireisl and
Antonín Novotný Weak Sequential Stability of the Set of
Admissible Variational Solutions to the
Navier--Stokes--Fourier System . . . . . 619--650
D. Mercier and
S. Nicaise Existence, Uniqueness, and Regularity
Results for Piezoelectric Systems . . . 651--672
Lorenzo Brandolese Application of the Realization of
Homogeneous Sobolev Spaces to
Navier--Stokes . . . . . . . . . . . . . 673--683
Gitta Kutyniok and
Thomas Strohmer Wilson Bases for General Time-Frequency
Lattices . . . . . . . . . . . . . . . . 685--711
Roger Moser A Higher Order Asymptotic Problem
Related to Phase Transitions . . . . . . 712--736
L. C. Evans and
O. Savin and
W. Gangbo Diffeomorphisms and Nonlinear Heat Flows 737--751
Marek Fila and
Hiroshi Matano and
Peter Polácik Immediate Regularization after Blow-up 752--776
Nicolas Dirr and
Panagiotis E. Souganidis Large-Time Behavior for Viscous and
Nonviscous Hamilton--Jacobi Equations
Forced by Additive Noise . . . . . . . . 777--796
Zhen Lei and
Yi Zhou Global Existence of Classical Solutions
for the Two-Dimensional Oldroyd Model
via the Incompressible Limit . . . . . . 797--814
David Gérard-Varet Oscillating Solutions of Incompressible
Magnetohydrodynamics and Dynamo Effect 815--840
Katsuyuki Ishii Optimal Rate of Convergence of the
Bence--Merriman--Osher Algorithm for
Motion by Mean Curvature . . . . . . . . 841--866
W. Kozek and
G. E. Pfander Identification of Operators with
Bandlimited Symbols . . . . . . . . . . 867--888
Corrado Mascia and
Kevin Zumbrun Stability of Large-Amplitude Shock
Profiles of General Relaxation Systems 889--913
Patricia Bauman and
Yangsuk Ko Analysis of Solutions to the
Lawrence--Doniach System for Layered
Superconductors . . . . . . . . . . . . 914--940
M. Baro and
H. Neidhardt and
J. Rehberg Current Coupling of Drift-Diffusion
Models and Schrödinger--Poisson Systems:
Dissipative Hybrid Models . . . . . . . 941--981
Sandro Zagatti On the Minimum Problem for Nonconvex
Scalar Functionals . . . . . . . . . . . 982--995
Alberto Bressan and
Adrian Constantin Global Solutions of the Hunter--Saxton
Equation . . . . . . . . . . . . . . . . 996--1026
Shumin Li An Inverse Problem for Maxwell's
Equations in Bi-isotropic Media . . . . 1027--1043
G. M. Coclite and
H. Holden and
K. H. Karlsen Global Weak Solutions to a Generalized
Hyperelastic-rod Wave Equation . . . . . 1044--1069
István Gyöngy and
Nicolai Krylov An Accelerated Splitting-up Method for
Parabolic Equations . . . . . . . . . . 1070--1097
Yunmei Chen and
M. Rao and
Y. Tonegawa and
T. Wunderli Partial Regularity for a Selective
Smoothing Functional for Image
Restoration in BV Space . . . . . . . . 1098--1116
Octavian G. Mustafa Existence and uniqueness of solutions
with low regularity for a class of
nonlinear dispersive equations . . . . . 1117--1130
Paolo Cermelli and
Giovanni Leoni Renormalized Energy and Forces on
Dislocations . . . . . . . . . . . . . . 1131--1160
J. Douglas Wright Corrections to the KdV Approximation for
Water Waves . . . . . . . . . . . . . . 1161--1206
Mi-Ho Giga and
Yoshikazu Giga and
Hidekata Hontani Self-similar Expanding Solutions in a
Sector for a Crystalline Flow . . . . . 1207--1226
Felix Otto and
Michael Westdickenberg Eulerian Calculus for the Contraction in
the Wasserstein Distance . . . . . . . . 1227--1255
Ya-Guang Wang and
Zhouping Xin Zero-Viscosity Limit of the Linearized
Compressible Navier--Stokes Equations
with Highly Oscillatory Forces in the
Half-Plane . . . . . . . . . . . . . . . 1256--1298
Xinfu Chen and
Yoshihito Oshita Periodicity and Uniqueness of Global
Minimizers of an Energy Functional
Containing a Long-Range Interaction . . 1299--1332
Micol Pennacchio and
Giuseppe Savaré and
Piero Colli Franzone Multiscale Modeling for the Bioelectric
Activity of the Heart . . . . . . . . . 1333--1370
Michael Cullen and
Mikhail Feldman Lagrangian Solutions of Semigeostrophic
Equations in Physical Space . . . . . . 1371--1395
Niko Tzoukmanis Near-Periodic Local Minimizers of
Singularly Perturbed Functionals with
Nonlocal Term . . . . . . . . . . . . . 1396--1416
Hyunseok Kim A Blow-Up Criterion for the
Nonhomogeneous Incompressible
Navier--Stokes Equations . . . . . . . . 1417--1434
Doina Cioranescu and
Alain Damlamian and
Riccardo De Arcangelis Homogenization of Quasiconvex Integrals
via the Periodic Unfolding Method . . . 1435--1453
Pablo Pedregal Young Measures Associated with
Homogenization . . . . . . . . . . . . . 1454--1464
E. R. Johnson and
Michael Levitin and
Leonid Parnovski Existence of Eigenvalues of a Linear
Operator Pencil in a Curved Waveguide
--- Localized Shelf Waves on a Curved
Coast . . . . . . . . . . . . . . . . . 1465--1481
Vera Mikyoung Hur Global Bifurcation Theory of Deep-Water
Waves with Vorticity . . . . . . . . . . 1482--1521
Wu-Hua Chen and
Xiaomei Lu and
Zhi-Hong Guan and
Wei Xing Zheng Asymptotic Stability in a Neutral Delay
Differential System with Variable Delays 1522--1534
Mihai Maris Global Branches of Travelling-Waves to a
Gross--Pitaevskii--Schrödinger System in
One Dimension . . . . . . . . . . . . . 1535--1559
Luca Biasco and
Luigi Chierchia and
Enrico Valdinoci $N$-Dimensional Elliptic Invariant Tori
for the Planar $ (N + 1)$-Body Problem 1560--1588
Séverine Rigot Quasiminimal Partitions with Prescribed
Measure . . . . . . . . . . . . . . . . 1589--1615
Xing-Bin Pan Landau--de Gennes Model of Liquid
Crystals with Small Ginzburg--Landau
Parameter . . . . . . . . . . . . . . . 1616--1648
Dongho Chae On the Regularity Conditions for the
Dissipative Quasi-geostrophic Equations 1649--1656
G. Bellettini and
M. Novaga and
E. Paolini Global Solutions to the Gradient Flow
Equation of a Nonconvex Functional . . . 1657--1687
Y. Kyrychko and
S. A. Gourley and
M. V. Bartuccelli Dynamics of a Stage-Structured
Population Model on an Isolated Finite
Lattice . . . . . . . . . . . . . . . . 1688--1708
Myeongju Chae and
Seung-Yeal Ha New Lyapunov Functionals of the
Vlasov--Poisson System . . . . . . . . . 1709--1731
Sergio Conti and
Barbara Niethammer and
Felix Otto Coarsening Rates in Off-Critical
Mixtures . . . . . . . . . . . . . . . . 1732--1741
David Hoff Uniqueness of Weak Solutions of the
Navier--Stokes Equations of
Multidimensional, Compressible Flow . . 1742--1760
Maria Pia Gualdani and
Ansgar Jüngel and
Giuseppe Toscani A Nonlinear Fourth-order Parabolic
Equation with Nonhomogeneous Boundary
Conditions . . . . . . . . . . . . . . . 1761--1779
Luigi C. Berselli and
Marco Romito On the Existence and Uniqueness of Weak
Solutions for a Vorticity Seeding Model 1780--1799
Almut Burchard and
Jochen Denzler On the Geometry of Optimal Windows, with
Special Focus on the Square . . . . . . 1800--1827
B. Kawohl and
G. Sweers On the Differential Equation $ u_{xxxx}
+ u_{yyyy} = f $ for an Anisotropic
Stiff Material . . . . . . . . . . . . . 1828--1853
Shu Wang and
Zhouping Xin and
Peter A. Markowich Quasi-neutral Limit of the Drift
Diffusion Models for Semiconductors: The
Case of General Sign-Changing Doping
Profile . . . . . . . . . . . . . . . . 1854--1889
A. Dunca and
Y. Epshteyn On the Stolz--Adams Deconvolution Model
for the Large-Eddy Simulation of
Turbulent Flows . . . . . . . . . . . . 1890--1902
Laura Fainsilber and
Pär Kurlberg and
Bernt Wennberg Lattice points on circles and discrete
velocity models for the Boltzmann
equation . . . . . . . . . . . . . . . . 1903--1922
Nikolaos Tzirakis Mass Concentration Phenomenon for the
Quintic Nonlinear Schrödinger Equation in
One Dimension . . . . . . . . . . . . . 1923--1946
Suncica Canic and
Barbara Lee Keyfitz and
Eun Heui Kim Free Boundary Problems for Nonlinear
Wave Systems: Mach Stems for Interacting
Shocks . . . . . . . . . . . . . . . . . 1947--1977
Antonin Chambolle and
Matteo Novaga Convergence of an Algorithm for the
Anisotropic and Crystalline Mean
Curvature Flow . . . . . . . . . . . . . 1978--1987
Yuri Trakhinin Dissipative Symmetrizers of Hyperbolic
Problems and Their Applications to Shock
Waves and Characteristic Discontinuities 1988--2024
Harald Garcke and
Sandra Wieland Surfactant Spreading on Thin Viscous
Films: Nonnegative Solutions of a
Coupled Degenerate System . . . . . . . 2025--2048
Thomas Laurent and
Brian Rider and
Michael Reed Parabolic Behavior of a Hyperbolic Delay
Equation . . . . . . . . . . . . . . . . 1--15
Bo Li Variational Properties of Unbounded
Order Parameters . . . . . . . . . . . . 16--36
Jeongho Ahn and
David E. Stewart Existence of Solutions for a Class of
Impact Problems Without Viscosity . . . 37--63
J. D. Evans and
V. A. Galaktionov and
J. F. Williams Blow-up and global asymptotics of the
limit unstable Cahn--Hilliard equation 64--102
Anita Mareno and
Timothy J. Healey Global Continuation in Second-Gradient
Nonlinear Elasticity . . . . . . . . . . 103--115
Peter W. Bates and
Fengxin Chen Spectral analysis of traveling waves for
nonlocal evolution equations . . . . . . 116--126
Grégoire Allaire and
Mariapia Palombaro Localization for the Schrödinger Equation
in a Locally Periodic Medium . . . . . . 127--142
Pierre Cardaliaguet and
Elisabeth Rouy Viscosity Solutions of Increasing Flows
of Sets. Application of the Hele--Shaw
Problem for Power-Law Fluids . . . . . . 143--165
Michael C. Mackey and
Chunhua Ou and
Laurent Pujo-Menjouet and
Jianhong Wu Periodic Oscillations of Blood Cell
Populations in Chronic Myelogenous
Leukemia . . . . . . . . . . . . . . . . 166--187
Jason Metcalfe and
Christopher D. Sogge Long-Time Existence of Quasilinear Wave
Equations Exterior to Star-Shaped
Obstacles via Energy Methods . . . . . . 188--209
James P. Kelliher Navier--Stokes Equations with Navier
Boundary Conditions for a Bounded Domain
in the Plane . . . . . . . . . . . . . . 210--232
Xinfu Chen and
Sheng-Chen Fu and
Jong-Shenq Guo Uniqueness and Asymptotics of Traveling
Waves of Monostable Dynamics on Lattices 233--258
Patrizia Pucci and
James Serrin Dead Cores and Bursts for Quasilinear
Singular Elliptic Equations . . . . . . 259--278
Andrea Cianchi and
Adele Ferone On Symmetric Functionals of the Gradient
Having Symmetric Equidistributed
Minimizers . . . . . . . . . . . . . . . 279--308
C. A. Morales and
M. J. Pacifico and
B. San Martin Contracting Lorenz Attractors through
Resonant Double Homoclinic Loops . . . . 309--332
John J. Benedetto and
Wojciech Czaja and
Alexander M. Powell An Optimal Example for the Balian--Low
Uncertainty Principle . . . . . . . . . 333--345
G. Hecklin and
G. Nürnberger and
F. Zeilfelder The Structure of C1 Spline Spaces on
Freudenthal Partitions . . . . . . . . . 347--367
Song Jiang and
Guoxi Ni and
Wenjun Sun Vanishing Viscosity Limit to Rarefaction
Waves for the Navier--Stokes Equations
of One-Dimensional Compressible
Heat-Conducting Fluids . . . . . . . . . 368--384
N. Desenzani and
I. Fragal\`a Concentration of Ginzburg--Landau
Energies with Supercritical Growth . . . 385--413
Pavel Belík and
Mitchell Luskin The Gamma-Convergence of a Sharp
Interface Thin Film Model with Nonconvex
Elastic Energy . . . . . . . . . . . . . 414--433
E. Sincich Stable Determination of the Surface
Impedance of an Obstacle by Far Field
Measurements . . . . . . . . . . . . . . 434--451
Yves Renard A Uniqueness Criterion for the Signorini
Problem with Coulomb Friction . . . . . 452--467
Nirmalendu Chaudhuri and
Stefan Müller Scaling of the Energy for Thin
Martensitic Films . . . . . . . . . . . 468--477
Andrea Davini and
Antonio Siconolfi A Generalized Dynamical Approach to the
Large Time Behavior of Solutions of
Hamilton--Jacobi Equations . . . . . . . 478--502
Felix Otto and
Tobias Rump and
Dejan Slepcev Coarsening Rates for a Droplet Model:
Rigorous Upper Bounds . . . . . . . . . 503--529
Bin Han and
Zuowei Shen Wavelets with Short Support . . . . . . 530--556
Stefan Berres and
Raimund Bürger and
Hermano Frid Neumann Problems for Quasi-linear
Parabolic Systems Modeling Polydisperse
Suspensions . . . . . . . . . . . . . . 557--573
F. J. Narcowich and
P. Petrushev and
J. D. Ward Localized Tight Frames on Spheres . . . 574--594
M. Herty and
M. Rascle Coupling Conditions for a Class of
Second-Order Models for Traffic Flow . . 595--616
Elise Fouassier High Frequency Analysis of Helmholtz
Equations: Case of Two Point Sources . . 617--636
C. M. Cuesta and
C. Schmeiser Weak Shocks for a One-Dimensional BGK
Kinetic Model for Conservation Laws . . 637--656
Sergio Conti and
Francesco Maggi and
Stefan Müller Rigorous Derivation of Föppl's Theory for
Clamped Elastic Membranes Leads to
Relaxation . . . . . . . . . . . . . . . 657--680
Gaik Ambartsoumian and
Peter Kuchment A Range Description for the Planar
Circular Radon Transform . . . . . . . . 681--692
Bendong Lou Periodic Rotating Waves in an Undulating
Annulus and Their Homogenization Limit 693--716
Ciro D'apice and
Rosanna Manzo and
Benedetto Piccoli Packet Flow on Telecommunication
Networks . . . . . . . . . . . . . . . . 717--740
Avner Friedman and
Gheorghe Craciun Approximate Traveling Waves in Linear
Reaction-Hyperbolic Equations . . . . . 741--758
Yvan Martel Linear Problems Related to Asymptotic
Stability of Solitons of the Generalized
KdV Equations . . . . . . . . . . . . . 759--781
Thomas Y. Hou and
Congming Li On Global Well-Posedness of the
Lagrangian Averaged Euler Equations . . 782--794
G. Loeper A Fully Nonlinear Version of the
Incompressible Euler Equations: The
Semigeostrophic System . . . . . . . . . 795--823
Mathias Rousset On the Control of an Interacting
Particle Estimation of Schrödinger Ground
States . . . . . . . . . . . . . . . . . 824--844
Lan Cheng and
Xinfu Chen and
John Chadam and
David Saunders Analysis of an Inverse First Passage
Problem from Risk Management . . . . . . 845--873
Amandine Aftalion and
Xavier Blanc Vortex Lattices in Rotating
Bose--Einstein Condensates . . . . . . . 874--893
Giles Auchmuty Spectral Characterization of the Trace
Spaces $ H^s(\partial \Omega) $ . . . . 894--905
B. Kolev and
D. H. Sattinger Variational Principles for Water Waves 906--920
Erik Wahlén Steady Periodic Capillary-Gravity Waves
with Vorticity . . . . . . . . . . . . . 921--943
Nadia Ansini and
Andrea Braides and
Vanda Valente Multiscale Analysis by $ \Gamma
$-Convergence of a One-Dimensional
Nonlocal Functional Related to a
Shell-Membrane Transition . . . . . . . 944--976
Claudio Albanese and
Stephan Lawi Poisson Kernels as Expansions in
$q$-Racah Polynomials . . . . . . . . . 977--984
Steve Levandosky and
Yue Liu Stability of Solitary Waves of a
Generalized Ostrovsky Equation . . . . . 985--1011
C. H. Rohwer and
D. P. Laurie The Discrete Pulse Transform . . . . . . 1012--1034
Taoufik Hmidi and
Sahbi Keraani Remarks on the Blowup for the $ L^2
$-Critical Nonlinear Schrödinger
Equations . . . . . . . . . . . . . . . 1035--1047
Robert Lipton Homogenization and Field Concentrations
in Heterogeneous Media . . . . . . . . . 1048--1059
Yonggeun Cho and
Tohru Ozawa On the Semirelativistic Hartree-Type
Equation . . . . . . . . . . . . . . . . 1060--1074
L. Bowen and
R. Lyons and
C. Radin and
P. Winkler A Solidification Phenomenon in Random
Packings . . . . . . . . . . . . . . . . 1075--1089
Luca Biasco and
Laura Di Gregorio Time Periodic Solutions for the
Nonlinear Wave Equation with Long
Minimal Period . . . . . . . . . . . . . 1090--1125
Mikhail Perepelitsa On the Global Existence of Weak
Solutions for the Navier--Stokes
Equations of Compressible Fluid Flows 1126--1153
Matthias Günther and
Georg Prokert On a Hele--Shaw Type Domain Evolution
with Convected Surface Energy Density:
The Third-Order Problem . . . . . . . . 1154--1185
Thomas Alazard Low Mach Number Flows and Combustion . . 1186--1213
Christoph Ortner Gradient Flows as a Selection Procedure
for Equilibria of Nonconvex Energies . . 1214--1234
X. Blanc Unique Solvability of a System of
Nonlinear Elliptic PDEs Arising in Solid
State Physics . . . . . . . . . . . . . 1235--1248
Elena Beretta and
Elisa Francini An Asymptotic Formula for the
Displacement Field in the Presence of
Thin Elastic Inhomogeneities . . . . . . 1249--1261
Andro Mikeli and
Vincent Devigne and
C. J. van Duijn Rigorous Upscaling of the Reactive Flow
through a Pore, under Dominant Peclet
and Damkohler Numbers . . . . . . . . . 1262--1287
Martin Burger and
Marco Di Francesco and
Yasmin Dolak-Struss The Keller--Segel Model for Chemotaxis
with Prevention of Overcrowding: Linear
vs. Nonlinear Diffusion . . . . . . . . 1288--1315
François Bouchut and
Gianluca Crippa Uniqueness, Renormalization, and Smooth
Approximations for Linear Transport
Equations . . . . . . . . . . . . . . . 1316--1328
Habib Ammari and
Hyeonbae Kang and
Fadil Santosa Scattering of Electromagnetic Waves by
Thin Dielectric Planar Structures . . . 1329--1342
Hairong Yuan On Transonic Shocks in Two-Dimensional
Variable-Area Ducts for Steady Euler
System . . . . . . . . . . . . . . . . . 1343--1370
G. Fibich and
I. Gannot and
A. Hammer and
S. Schochet Chemical Kinetics on Surfaces: A
Singular Limit of a Reaction-Diffusion
System . . . . . . . . . . . . . . . . . 1371--1388
Qiyu Sun Nonuniform Average Sampling and
Reconstruction of Signals with Finite
Rate of Innovation . . . . . . . . . . . 1389--1422
Nassif Ghoussoub and
Yujin Guo On the Partial Differential Equations of
Electrostatic MEMS Devices: Stationary
Case . . . . . . . . . . . . . . . . . . 1423--1449
Alexandre L. Madureira and
Frédéric Valentin Asymptotics of the Poisson Problem in
Domains with Curved Rough Boundaries . . 1450--1473
Wen Shen and
Mee Rea Park Optimal Tracing of Viscous Shocks in
Solutions of Viscous Conservation Laws 1474--1488
Tomás Caraballo and
Igor D. Chueshov and
Peter E. Kloeden Synchronization of a Stochastic
Reaction-Diffusion System on a Thin
Two-Layer Domain . . . . . . . . . . . . 1489--1507
Wei Wang and
Daomin Cao and
Jinqiao Duan Effective Macroscopic Dynamics of
Stochastic Partial Differential
Equations in Perforated Domains . . . . 1508--1527
Herbert Koch and
Jean-Claude Saut Local Smoothing and Local Solvability
for Third Order Dispersive Equations . . 1528--1541
Manuel del Pino and
Micha Kowalczyk and
Juncheng Wei Resonance and Interior Layers in an
Inhomogeneous Phase Transition Model . . 1542--1564
Vladimir Kamotski and
Karsten Matthies and
Valery P. Smyshlyaev Exponential Homogenization of Linear
Second Order Elliptic PDEs with Periodic
Coefficients . . . . . . . . . . . . . . 1565--1587
Fanghua Lin and
Xing-Bin Pan Magnetic Field-Induced Instabilities in
Liquid Crystals . . . . . . . . . . . . 1588--1612
Xinfu Chen and
John Chadam A Mathematical Analysis of the Optimal
Exercise Boundary for American Put
Options . . . . . . . . . . . . . . . . 1613--1641
Maria-Carme Calderer and
Alexander Panchenko Young Measures and Order-Disorder
Transition in Stationary Flow of Liquid
Crystals . . . . . . . . . . . . . . . . 1642--1659
Gui-Qiang Chen and
Yongqian Zhang and
Dianwen Zhu Stability of Compressible Vortex Sheets
in Steady Supersonic Euler Flows over
Lipschitz Walls . . . . . . . . . . . . 1660--1693
Christoph Walker and
Glenn F. Webb Global Existence of Classical Solutions
for a Haptotaxis Model . . . . . . . . . 1694--1713
Yaniv Almog and
Bernard Helffer The Distribution of Surface
Superconductivity Along the Boundary: On
a Conjecture of X. B. Pan . . . . . . . 1715--1732
Shuji Yoshikawa and
Irena Paw ow and
Wojciech M. Zaj czkowski Quasi-Linear Thermoelasticity System
Arising in Shape Memory Materials . . . 1733--1759
Arjen Doelman and
Tasso J. Kaper and
Keith Promislow Nonlinear Asymptotic Stability of the
Semistrong Pulse Dynamics in a
Regularized Gierer--Meinhardt Model . . 1760--1787
Nader Masmoudi and
Mohamed Lazhar Tayeb Diffusion Limit of a Semiconductor
Boltzmann--Poisson System . . . . . . . 1788--1807
Roland Potthast On the Convergence of the No Response
Test . . . . . . . . . . . . . . . . . . 1808--1824
Y. Amirat and
V. Shelukhin Global Weak Solutions to Equations of
Compressible Miscible Flows in Porous
Media . . . . . . . . . . . . . . . . . 1825--1846
Marco Cannone and
Qionglei Chen and
Changxing Miao A Losing Estimate for the Ideal MHD
Equations with Application to Blow-up
Criterion . . . . . . . . . . . . . . . 1847--1859
Jianhua Wu and
Hua Nie and
Gail S. K. Wolkowicz The Effect of Inhibitor on the
Plasmid-Bearing and Plasmid-Free Model
in the Unstirred Chemostat . . . . . . . 1860--1885
Yoshihito Oshita Singular Limit Problem for Some Elliptic
Systems . . . . . . . . . . . . . . . . 1886--1911
Masahito Ohta and
Grozdena Todorova Strong Instability of Standing Waves for
the Nonlinear Klein--Gordon Equation and
the Klein--Gordon--Zakharov System . . . 1912--1931
Bob Eisenberg and
Weishi Liu Poisson--Nernst--Planck Systems for Ion
Channels with Permanent Charges . . . . 1932--1966
Gunther Uhlmann and
Jenn-Nan Wang Complex Spherical Waves for the
Elasticity System and Probing of
Inclusions . . . . . . . . . . . . . . . 1967--1980
Patrick Guidotti A Class of Free Boundary Problems with
Onset of a New Phase . . . . . . . . . . 1981--2004
Edward Norman Dancer and
Xiaofeng Ren and
Shusen Yan On Multiple Radial Solutions of a
Singularly Perturbed Nonlinear Elliptic
System . . . . . . . . . . . . . . . . . 2005--2041
David Jimenez and
Long Wang and
Yang Wang White Noise Hypothesis for Uniform
Quantization Errors . . . . . . . . . . 2042--2056
Andrew Comech and
Scipio Cuccagna and
Dmitry E. Pelinovsky Nonlinear Instability of a Critical
Traveling Wave in the Generalized
Korteweg--de Vries Equation . . . . . . 1--33
Monica Visan and
Xiaoyi Zhang On the Blowup for the $ L^2 $-Critical
Focusing Nonlinear Schrödinger Equation
in Higher Dimensions below the Energy
Class . . . . . . . . . . . . . . . . . 34--56
Guillaume Bal and
Alexandru Tamasan Inverse Source Problems in Transport
Equations . . . . . . . . . . . . . . . 57--76
Antonin Chambolle and
Margherita Solci Interaction of a Bulk and a Surface
Energy with a Geometrical Constraint . . 77--102
Chunhua Ou and
Jianhong Wu Traveling Wavefronts in a Delayed
Food-limited Population Model . . . . . 103--125
Alessio Figalli Existence, Uniqueness, and Regularity of
Optimal Transport Maps . . . . . . . . . 126--137
Je-Chiang Tsai Asymptotic Stability of Traveling Wave
Fronts in the Buffered Bistable System 138--159
M. Herty and
A. Klar and
B. Piccoli Existence of Solutions for Supply Chain
Models Based on Partial Differential
Equations . . . . . . . . . . . . . . . 160--173
Avner Friedman and
Bei Hu Bifurcation for a Free Boundary Problem
Modeling Tumor Growth by Stokes Equation 174--194
M. Lilli and
T. J. Healey and
H. Kielhöfer Singular Perturbation as a Selection
Criterion for Young-Measure Solutions 195--209
Shangbin Cui and
Joachim Escher Bifurcation Analysis of an Elliptic Free
Boundary Problem Modelling the Growth of
Avascular Tumors . . . . . . . . . . . . 210--235
Sergiy Nesenenko Homogenization in Viscoplasticity . . . 236--262
S. N. Antontsev and
N. V. Chemetov Flux of Superconducting Vortices Through
a Domain . . . . . . . . . . . . . . . . 263--280
Johannes F. Brasche and
Kate\vrina O\vzanová Convergence of Schrödinger Operators . . 281--297
Kanghui Guo and
Demetrio Labate Optimally Sparse Multidimensional
Representation Using Shearlets . . . . . 298--318
Masaharu Taniguchi Traveling Fronts of Pyramidal Shapes in
the Allen--Cahn Equations . . . . . . . 319--344
Véronique Bagland and
Philippe Laurencot Self-Similar Solutions To The
Oort--Hulst--Safronov Coagulation
Equation . . . . . . . . . . . . . . . . 345--378
Dieter Bothe and
Jan Prüss $ L_p $-Theory for a Class of
Non-Newtonian Fluids . . . . . . . . . . 379--421
M. C. Lopes Filho Vortex Dynamics in a Two-Dimensional
Domain with Holes and the Small Obstacle
Limit . . . . . . . . . . . . . . . . . 422--436
Xinfu Chen and
Yuanwei Qi Sharp Estimates on Minimum Travelling
Wave Speed of Reaction Diffusion Systems
Modelling Autocatalysis . . . . . . . . 437--448
Marcello Ponsiglione Elastic Energy Stored in a Crystal
Induced by Screw Dislocations: From
Discrete to Continuous . . . . . . . . . 449--469
Nira Dyn and
David Levin and
Jungho Yoon Analysis of Univariate Nonstationary
Subdivision Schemes with Application to
Gaussian-Based Interpolatory Schemes . . 470--488
Doyoon Kim and
N. V. Krylov Elliptic Differential Equations with
Coefficients Measurable with Respect to
One Variable and VMO with Respect to the
Others . . . . . . . . . . . . . . . . . 489--506
C. J. van Duijn and
L. A. Peletier and
I. S. Pop A New Class of Entropy Solutions of the
Buckley--Leverett Equation . . . . . . . 507--536
Yeon Ju Lee and
Gang Joon Yoon and
Jungho Yoon Convergence of Increasingly Flat Radial
Basis Interpolants to Polynomial
Interpolants . . . . . . . . . . . . . . 537--553
R. A. Brownlee and
E. H. Georgoulis and
J. Levesley Extending the Range of Error Estimates
for Radial Approximation in Euclidean
Space and on Spheres . . . . . . . . . . 554--564
Juan Dávila and
Louis Dupaigne and
Ignacio Guerra and
Marcelo Montenegro Stable Solutions for the Bilaplacian
with Exponential Nonlinearity . . . . . 565--592
A. Fraysse Generic Validity of the Multifractal
Formalism . . . . . . . . . . . . . . . 593--607
Huai-Yu Jian and
Xu-Jia Wang Continuity Estimates for the
Monge--Amp\`ere Equation . . . . . . . . 608--626
L. Molinet and
J. C. Saut and
N. Tzvetkov Remarks on the Mass Constraint for
KP-Type Equations . . . . . . . . . . . 627--641
Alexander Mielke and
Aida M. Timofte Two-Scale Homogenization for
Evolutionary Variational Inequalities
via the Energetic Formulation . . . . . 642--668
G. Seregin and
W. Zajaczkowski A Sufficient Condition of Regularity for
Axially Symmetric Solutions to the
Navier--Stokes Equations . . . . . . . . 669--685
Maria Neuss-Radu and
Willi Jäger Effective Transmission Conditions for
Reaction-Diffusion Processes in Domains
Separated by an Interface . . . . . . . 687--720
Miyuki Koiso and
Bennett Palmer Uniqueness Theorems for Stable
Anisotropic Capillary Surfaces . . . . . 721--741
C. H. Arthur Cheng and
Daniel Coutand and
Steve Shkoller Navier--Stokes Equations Interacting
with a Nonlinear Elastic Biofluid Shell 742--800
Markus Lilli Classical Solutions for Nonelliptic
Euler--Lagrange Equations via
Continuation . . . . . . . . . . . . . . 801--818
Gen Nakamura and
Mourad Sini Obstacle and Boundary Determination from
Scattering Data . . . . . . . . . . . . 819--837
P. Celada and
S. Perrotta On a Class of Nonconvex Bolza Problems
Related to Blatz--Ko Elastic Materials 838--862
Tomá\vs Roubí\vcek Incompressible Ionized Non-Newtonian
Fluid Mixtures . . . . . . . . . . . . . 863--890
Anne-Laure Dalibard Kinetic Formulation for a Parabolic
Conservation Law. Application to
Homogenization . . . . . . . . . . . . . 891--915
William Layton Bounds on Energy and Helicity
Dissipation Rates of Approximate
Deconvolution Models of Turbulence . . . 916--931
M. D. Groves and
E. Wahlén Spatial Dynamics Methods for Solitary
Gravity-Capillary Water Waves with an
Arbitrary Distribution of Vorticity . . 932--964
Ahmad El Hajj Well-Posedness Theory for a
Nonconservative Burgers-Type System
Arising in Dislocation Dynamics . . . . 965--986
Augusto Visintin Homogenization of a Doubly Nonlinear
Stefan-Type Problem . . . . . . . . . . 987--1017
Hyung Ju Hwang and
Kyungkeun Kang and
Angela Stevens Erratum: ``Global Solutions of Nonlinear
Transport Equations for Chemosensitive
Movement'' [SIAM J. Math. Anal. 36
(2005), pp. 1177--1199] . . . . . . . . 1018--1021
Odo Diekmann and
Philipp Getto and
Mats Gyllenberg Stability and Bifurcation Analysis of
Volterra Functional Equations in the
Light of Suns and Stars . . . . . . . . 1023--1069
Shu-Ming Chang and
Stephen Gustafson and
Kenji Nakanishi and
Tai-Peng Tsai Spectra of Linearized Operators for NLS
Solitary Waves . . . . . . . . . . . . . 1070--1111
Ahmad El Soufi and
Rola Kiwan Extremal First Dirichlet Eigenvalue of
Doubly Connected Plane Domains and
Dihedral Symmetry . . . . . . . . . . . 1112--1119
Piotr B. Mucha and
Piotr Rybka A New Look at Equilibria in Stefan-Type
Problems in the Plane . . . . . . . . . 1120--1134
Hynek Kova\vrík Weakly Coupled Schrödinger Operators on
Regular Metric Trees . . . . . . . . . . 1135--1149
William K. Allard Total Variation Regularization for Image
Denoising, I. Geometric Theory . . . . . 1150--1190
Daniel Daners and
James Kennedy Uniqueness in the Faber--Krahn
Inequality for Robin Problems . . . . . 1191--1207
Stuart Hastings and
David Kinderlehrer and
J. Bryce McLeod Diffusion Mediated Transport in Multiple
State Systems . . . . . . . . . . . . . 1208--1230
Wenlian Lu and
Fatihcan M. Atay and
Jürgen Jost Synchronization of Discrete-Time
Dynamical Networks with Time-Varying
Couplings . . . . . . . . . . . . . . . 1231--1259
Thomas Blesgen On Diffusion Induced Segregation in
Time-Dependent Domains . . . . . . . . . 1260--1294
Tommaso Leonori and
Alessio Porretta The Boundary Behavior of Blow-Up
Solutions Related to a Stochastic
Control Problem with State Constraint 1295--1327
Victor Isakov and
Jenn-Nan Wang and
Masahiro Yamamoto An Inverse Problem for a Dynamical Lamé
System with Residual Stress . . . . . . 1328--1343
A. Mellet and
A. Vasseur Existence and Uniqueness of Global
Strong Solutions for One-Dimensional
Compressible Navier--Stokes Equations 1344--1365
Xiaoqiang Wang Asymptotic Analysis of Phase Field
Formulations of Bending Elasticity
Models . . . . . . . . . . . . . . . . . 1367--1401
Zhenhua Guo and
Quansen Jiu and
Zhouping Xin Spherically Symmetric Isentropic
Compressible Flows with
Density-Dependent Viscosity Coefficients 1402--1427
Simon N. Chandler-Wilde and
Peter Monk Wave-Number-Explicit Bounds in
Time-Harmonic Scattering . . . . . . . . 1428--1455
Rinaldo M. Colombo and
Mauro Garavello On the Cauchy Problem for the $p$-System
at a Junction . . . . . . . . . . . . . 1456--1471
Dennis D. Cox and
Robert M. Hardt and
Petr Klou\vcek Convergence of Gibbs Measures Associated
with Simulated Annealing . . . . . . . . 1472--1496
Xiaofeng Ren and
Juncheng Wei Spherical Solutions to a Nonlocal Free
Boundary Problem from Diblock Copolymer
Morphology . . . . . . . . . . . . . . . 1497--1535
Grzegorz Karch and
Changxing Miao and
Xiaojing Xu On Convergence of Solutions of Fractal
Burgers Equation toward Rarefaction
Waves . . . . . . . . . . . . . . . . . 1536--1549
Marian Bocea and
Vincenzo Nesi $ \Gamma $-Convergence of Power-Law
Functionals, Variational Principles in $
L^{\infty } $, and Applications . . . . 1550--1576
Luc Molinet and
Raafat Talhouk Newtonian Limit for Weakly Viscoelastic
Fluid Flows of Oldroyd Type . . . . . . 1577--1594
Stephen O'Dell Inverse Scattering for Schrödinger-Type
Operators with Interface Conditions
Across Smooth Surfaces . . . . . . . . . 1595--1626
Paul Dupuis and
Jim X. Zhang Explicit Solutions for a Class of
Nonlinear PDEs that Arise in Allocation
Problems . . . . . . . . . . . . . . . . 1627--1667
Bin Cheng and
Eitan Tadmor Long-Time Existence of Smooth Solutions
for the Rapidly Rotating Shallow-Water
and Euler Equations . . . . . . . . . . 1668--1685
Eugen Varvaruca On Some Properties of Traveling Water
Waves with Vorticity . . . . . . . . . . 1686--1692
Jérôme Coville and
Juan Dávila and
Salomé Martínez Existence and Uniqueness of Solutions to
a Nonlocal Equation with Monostable
Nonlinearity . . . . . . . . . . . . . . 1693--1709
Mohammed Lemou and
Florian Méhats and
Pierre Raphaël Structure of the Linearized
Gravitational Vlasov--Poisson System
Close to a Polytropic Ground State . . . 1711--1739
Ben Schweizer Homogenization of Degenerate Two-Phase
Flow Equations with Oil Trapping . . . . 1740--1763
Dominique Blanchard and
Antonio Gaudiello and
Taras A. Mel'nyk Boundary Homogenization and Reduction of
Dimension in a Kirchhoff--Love Plate . . 1764--1787
Konstantina Trivisa On the Dynamics of Liquid-Vapor Phase
Transition . . . . . . . . . . . . . . . 1788--1820
Mikhail I. Belishev and
Alexsei F. Vakulenko Reachable and Unreachable Sets in the
Scattering Problem for the Acoustical
Equation in $ \mathbb {R}^3 $ . . . . . 1821--1850
Soichiro Katayama and
Hideo Kubo Decay Estimates of a Tangential
Derivative to the Light Cone for the
Wave Equation and Their Application . . 1851--1862
Barbara Kaltenbacher and
Michael V. Klibanov An Inverse Problem for a Nonlinear
Parabolic Equation with Applications in
Population Dynamics and Magnetics . . . 1863--1889
Axel Grünrock and
Sebastian Herr Low Regularity Local Well-Posedness of
the Derivative Nonlinear Schrödinger
Equation with Periodic Initial Data . . 1890--1920
Jean-François Babadjian Lower Semicontinuity of Quasi-convex
Bulk Energies in SBV and Integral
Representation in Dimension Reduction 1921--1950
Guillaume van Baalen and
Nikola Popovi\'c and
C. Eugene Wayne Long Tails in the Long-Time Asymptotics
of Quasi-Linear Hyperbolic-Parabolic
Systems of Conservation Laws . . . . . . 1951--1977
Mitsunori Nara Large Time Behavior of Radially
Symmetric Surfaces in the Mean Curvature
Flow . . . . . . . . . . . . . . . . . . 1978--1995
Ansgar Jüngel and
Daniel Matthes The Derrida--Lebowitz--Speer--Spohn
Equation: Existence, Nonuniqueness, and
Decay Rates of the Solutions . . . . . . 1996--2015
Alessia Marigo and
Benedetto Piccoli A Fluid Dynamic Model for $T$-Junctions 2016--2032
Björn Sandstede and
Arnd Scheel Hopf Bifurcation From Viscous Shock
Waves . . . . . . . . . . . . . . . . . 2033--2052
Thierry Champion and
Luigi De Pascale and
Petri Juutinen The $ \infty $-Wasserstein Distance:
Local Solutions and Existence of Optimal
Transport Maps . . . . . . . . . . . . . 1--20
Patrizio Neff and
Dorothee Knees Regularity up to the Boundary for
Nonlinear Elliptic Systems Arising in
Time-Incremental Infinitesimal
Elasto-plasticity . . . . . . . . . . . 21--43
Guy Barles and
Pierre Cardaliaguet and
Olivier Ley and
Régis Monneau Global Existence Results and Uniqueness
for Dislocation Equations . . . . . . . 44--69
Bin Han Refinable Functions and Cascade
Algorithms in Weighted Spaces with Hölder
Continuous Masks . . . . . . . . . . . . 70--102
Clotilde Fermanian Kammerer and
Caroline Lasser Propagation through Generic Level
Crossings: A Surface Hopping Semigroup 103--133
Debora Amadori and
Andrea Corli On a Model of Multiphase Flow . . . . . 134--166
Hammadi Abidi and
Taoufik Hmidi On the Global Well-Posedness of the
Critical Quasi-Geostrophic Equation . . 167--185
Peter Hornung A $ \Gamma $-Convergence Result for Thin
Martensitic Films in Linearized
Elasticity . . . . . . . . . . . . . . . 186--214
Anna Marciniak-Czochra and
Mariya Ptashnyk Derivation of a Macroscopic
Receptor-Based Model Using
Homogenization Techniques . . . . . . . 215--237
M. Bellassoued and
O. Imanuvilov and
M. Yamamoto Inverse Problem of Determining the
Density and Two Lamé Coefficients by
Boundary Data . . . . . . . . . . . . . 238--265
Jonatan Lenells The Hunter--Saxton Equation: A Geometric
Approach . . . . . . . . . . . . . . . . 266--277
Nakao Hayashi and
Pavel I. Naumkin and
Hideaki Sunagawa On the Schrödinger Equation with
Dissipative Nonlinearities of Derivative
Type . . . . . . . . . . . . . . . . . . 278--291
Matthias Hieber and
Joachim Rehberg Quasilinear Parabolic Systems with Mixed
Boundary Conditions on Nonsmooth Domains 292--305
Fahuai Yi and
Zhou Yang and
Xiaohua Wang A Variational Inequality Arising from
European Installment Call Options
Pricing . . . . . . . . . . . . . . . . 306--326
Eric A. Carlen and
Jeffrey S. Geronimo and
Michael Loss Determination of the Spectral Gap in the
Kac Model for Physical Momentum and
Energy-Conserving Collisions . . . . . . 327--364
Tai-Chia Lin and
Juncheng Wei Orbital Stability of Bound States of
Semiclassical Nonlinear Schrödinger
Equations with Critical Nonlinearity . . 365--381
Pietro Baldi and
Massimiliano Berti Forced Vibrations of a Nonhomogeneous
String . . . . . . . . . . . . . . . . . 382--412
R. Beardmore and
K. Webster Normal Forms, Quasi-invariant Manifolds,
and Bifurcations of Nonlinear
Difference-Algebraic Equations . . . . . 413--441
Qionglei Chen and
Changxing Miao and
Zhifei Zhang On the Well-Posedness for the Viscous
Shallow Water Equations . . . . . . . . 443--474
Shuyin Wu and
Zhaoyang Yin Blow-Up and Decay of the Solution of the
Weakly Dissipative Degasperis--Procesi
Equation . . . . . . . . . . . . . . . . 475--490
Harald Garcke and
Kazuo Ito and
Yoshihito Kohsaka Nonlinear Stability of Stationary
Solutions for Surface Diffusion with
Boundary Conditions . . . . . . . . . . 491--515
Clayton Bjorland Decay Asymptotics of the Viscous
Camassa--Holm Equations in the Plane . . 516--539
Yue-Jun Peng and
Shu Wang Rigorous Derivation of Incompressible
e-MHD Equations from Compressible
Euler--Maxwell Equations . . . . . . . . 540--565
E. W. Kirr and
P. G. Kevrekidis and
E. Shlizerman and
M. I. Weinstein Symmetry-Breaking Bifurcation in
Nonlinear Schrödinger/Gross--Pitaevskii
Equations . . . . . . . . . . . . . . . 566--604
R. M. Colombo and
M. Herty and
V. Sachers On $ 2 \times 2 $ Conservation Laws at a
Junction . . . . . . . . . . . . . . . . 605--622
Ulisse Stefanelli A Variational Principle for Hardening
Elastoplasticity . . . . . . . . . . . . 623--652
Nikolaos Bournaveas and
Susana Gutiérrez Averages over Spheres for Kinetic
Transport Equations with Velocity
Derivatives in the Right-Hand Side . . . 653--674
Jan Prüss and
Gieri Simonett Stability of Equilibria for the Stefan
Problem With Surface Tension . . . . . . 675--698
I. Kostin and
G. Panasenko Khokhlov--Zabolotskaya--Kuznetsov-Type
Equation: Nonlinear Acoustics in
Heterogeneous Media . . . . . . . . . . 699--715
Céline Grandmont Existence of Weak Solutions for the
Unsteady Interaction of a Viscous Fluid
with an Elastic Plate . . . . . . . . . 716--737
Lassi Päivärinta and
John Sylvester Transmission Eigenvalues . . . . . . . . 738--753
Truyen Nguyen and
Adrian Tudorascu Pressureless Euler/Euler--Poisson
Systems via Adhesion Dynamics and Scalar
Conservation Laws . . . . . . . . . . . 754--775
Sze-Bi Hsu and
Xiao-Qiang Zhao Spreading Speeds and Traveling Waves for
Nonmonotone Integrodifference Equations 776--789
Kai-Seng Chou and
Shi-Zhong Du Estimates on the Hausdorff Dimension of
the Rupture Set of a Thin Film . . . . . 790--823
Y. Almog The Stability of the Normal State of
Superconductors in the Presence of
Electric Currents . . . . . . . . . . . 824--850
Xu Zhang Carleman and Observability Estimates for
Stochastic Wave Equations . . . . . . . 851--868
Mingjun Wei and
Ting Zhang and
Daoyuan Fang Global Behavior of Spherically Symmetric
Navier--Stokes Equations with Degenerate
Viscosity Coefficients . . . . . . . . . 869--904
Bin Han and
Zuowei Shen Compactly Supported Symmetric $ C^\infty
$ Wavelets with Spectral Approximation
Order . . . . . . . . . . . . . . . . . 905--938
José A. Barrionuevo and
Jacques A. L. Silva Stability and Synchronism of Certain
Coupled Dynamical Systems . . . . . . . 939--951
Wen-Xin Qin and
Chun-Lan Xu and
Xin Ma Stability of Single-Wave-Form Solutions
in the Underdamped Frenkel--Kontorova
Model . . . . . . . . . . . . . . . . . 952--967
Martin Grothaus and
Axel Klar Ergodicity and Rate of Convergence for a
Nonsectorial Fiber Lay-Down Process . . 968--983
Elena Beretta and
Elisa Francini and
Sergio Vessella Determination of a Linear Crack in an
Elastic Body from Boundary Measurements
--- Lipschitz Stability . . . . . . . . 984--1002
Víctor Muñoz-Villarragut and
Sylvia Novo and
Rafael Obaya Neutral Functional Differential
Equations with Applications to
Compartmental Systems . . . . . . . . . 1003--1028
Dejan Slep\vcev Coarsening in Nonlocal Interfacial
Systems . . . . . . . . . . . . . . . . 1029--1048
Congming Li and
Li Ma Uniqueness of Positive Bound States to
Schrödinger Systems with Critical
Exponents . . . . . . . . . . . . . . . 1049--1057
Tong Li Stability of Traveling Waves in
Quasi-Linear Hyperbolic Systems with
Relaxation and Diffusion . . . . . . . . 1058--1075
Mihai Mari Nonexistence of Supersonic Traveling
Waves for Nonlinear Schrödinger Equations
with Nonzero Conditions at Infinity . . 1076--1103
Sara Daneri and
Giuseppe Savaré Eulerian Calculus for the Displacement
Convexity in the Wasserstein Distance 1104--1122
Jaime Angulo Pava and
Fábio M. A. Natali Positivity Properties of the Fourier
Transform and the Stability of Periodic
Travelling-Wave Solutions . . . . . . . 1123--1151
P. I. Plotnikov and
E. V. Ruban and
J. Sokolowski Inhomogeneous Boundary Value Problems
for Compressible Navier--Stokes
Equations: Well-Posedness and
Sensitivity Analysis . . . . . . . . . . 1152--1200
Alessandro Giacomini and
Luca Lussardi Quasi-static Evolution for a Model in
Strain Gradient Plasticity . . . . . . . 1201--1245
Hui Zhang and
Pingwen Zhang On the New Multiscale Rodlike Model of
Polymeric Fluids . . . . . . . . . . . . 1246--1271
Anvarbek Meirmanov A Description of Seismic Acoustic Wave
Propagation in Porous Media via
Homogenization . . . . . . . . . . . . . 1272--1289
Julian Gevirtz Boundary Behavior of Solutions of a
Class of Genuinely Nonlinear Hyperbolic
Systems . . . . . . . . . . . . . . . . 1291--1336
Gideon Simpson and
Michael I. Weinstein Asymptotic Stability of Ascending
Solitary Magma Waves . . . . . . . . . . 1337--1391
Lisa Harris and
Jani Lukkarinen and
Stefan Teufel and
Florian Theil Energy Transport by Acoustic Modes of
Harmonic Lattices . . . . . . . . . . . 1392--1418
Yihong Du and
Sze-Bi Hsu Concentration Phenomena in a Nonlocal
Quasi-linear Problem Modelling
Phytoplankton I: Existence . . . . . . . 1419--1440
Yihong Du and
Sze-Bi Hsu Concentration Phenomena in a Nonlocal
Quasi-linear Problem Modelling
Phytoplankton II: Limiting Profile . . . 1441--1470
John W. Barrett and
Xiaobing Feng and
Andreas Prohl On $p$-Harmonic Map Heat Flows for $ 1
\leq p < \infty $ and Their Finite
Element Approximations . . . . . . . . . 1471--1498
Ralph Saxton and
Feride Ti\uglay Global Existence of Some Infinite Energy
Solutions for a Perfect Incompressible
Fluid . . . . . . . . . . . . . . . . . 1499--1515
Alexander Tovbis Breaking of Symmetrical Periodic
Solutions in a Singularly Perturbed KDV
Model . . . . . . . . . . . . . . . . . 1516--1549
Leonid Berlyand and
Oscar Bruno and
Alexei Novikov Rise of Correlations of Transformation
Strains in Random Polycrystals . . . . . 1550--1584
D. Cioranescu and
A. Damlamian and
G. Griso The Periodic Unfolding Method in
Homogenization . . . . . . . . . . . . . 1585--1620
Nabile Boussaid On the Asymptotic Stability of Small
Nonlinear Dirac Standing Waves in a
Resonant Case . . . . . . . . . . . . . 1621--1670
Andro Mikeli\'c and
Hans Bruining Analysis of Model Equations for
Stress-Enhanced Diffusion in Coal
Layers. Part I: Existence of a Weak
Solution . . . . . . . . . . . . . . . . 1671--1691
Shangbin Cui Asymptotic Stability of the Stationary
Solution for a Hyperbolic Free Boundary
Problem Modeling Tumor Growth . . . . . 1692--1724
Piotr Krzy anowski and
Philippe Laurençot and
Dariusz Wrzosek Well-Posedness and Convergence to the
Steady State for a Model of Morphogen
Transport . . . . . . . . . . . . . . . 1725--1749
Yuji Kodama and
V. U. Pierce and
Fei-Ran Tian On the Whitham Equations for the
Defocusing Complex Modified KdV Equation 1750--1782
Pascal Noble Persistence of Roll Waves for the Saint
Venant Equations . . . . . . . . . . . . 1783--1814
F. Andreu and
J. M. Mazón and
J. D. Rossi and
J. Toledo A Nonlocal $p$-Laplacian Evolution
Equation with Nonhomogeneous Dirichlet
Boundary Conditions . . . . . . . . . . 1815--1851
Nikos I. Kavallaris and
Philippe Souplet Grow-Up Rate and Refined Asymptotics for
a Two-Dimensional Patlak--Keller--Segel
Model in a Disk . . . . . . . . . . . . 1852--1881
Adrien Petrov and
Michelle Schatzman Mathematical Results on Existence for
Viscoelastodynamic Problems with
Unilateral Constraints . . . . . . . . . 1882--1904
Lingbing He and
Ping Zhang $ L^2 $ Decay of Solutions to a
Micro-Macro Model for Polymeric Fluids
Near Equilibrium . . . . . . . . . . . . 1905--1922
Lorenzo Freddi and
François Murat and
Roberto Paroni Anisotropic Inhomogeneous Rectangular
Thin-Walled Beams . . . . . . . . . . . 1923--1951
Patrizia Donato and
Luisa Faella and
Sara Monsurr\`o Correctors for the Homogenization of a
Class of Hyperbolic Equations with
Imperfect Interfaces . . . . . . . . . . 1952--1978
Jiang Xu Relaxation-Time Limit in the Isothermal
Hydrodynamic Model for Semiconductors 1979--1991
Joachim Escher and
Bogdan-Vasile Matioc Existence and Stability Results for
Periodic Stokesian Hele--Shaw Flows . . 1992--2006
Maurizio Grasselli and
Hao Wu and
Songmu Zheng Convergence to Equilibrium for
Parabolic-Hyperbolic Time-Dependent
Ginzburg--Landau--Maxwell Equations . . 2007--2033
Zongming Guo and
Juncheng Wei On a Fourth Order Nonlinear Elliptic
Equation with Negative Exponent . . . . 2034--2054
Klaus Deckelnick and
Hans-Christoph Grunau Stability and Symmetry in the Navier
Problem for the One-Dimensional Willmore
Equation . . . . . . . . . . . . . . . . 2055--2076
Matthias Kurzke and
Daniel Spirn On the Energy of Superconductors in
Large and Small Domains . . . . . . . . 2077--2104
C. Bennewitz and
B. M. Brown and
R. Weikard Inverse Spectral and Scattering Theory
for the Half-Line Left-Definite
Sturm--Liouville Problem . . . . . . . . 2105--2131
Barbara Forster and
Eva Lütkebohmert and
Josef Teichmann Absolutely Continuous Laws of
Jump-Diffusions in Finite and Infinite
Dimensions with Applications to
Mathematical Finance . . . . . . . . . . 2132--2153
Alexander Plakhov Billiard Scattering on Rough Sets:
Two-Dimensional Case . . . . . . . . . . 2155--2178
José A. Langa and
James C. Robinson and
Aníbal Rodríguez-Bernal and
Antonio Suárez Permanence and Asymptotically Stable
Complete Trajectories for Nonautonomous
Lotka--Volterra Models with Diffusion 2179--2216
Yoshihisa Morita and
Koichi Tachibana An Entire Solution to the
Lotka--Volterra Competition-Diffusion
Equations . . . . . . . . . . . . . . . 2217--2240
Yong Jung Kim and
Wei-Ming Ni Higher Order Approximations in the Heat
Equation and the Truncated Moment
Problem . . . . . . . . . . . . . . . . 2241--2261
N. V. Krylov On Divergence Form SPDEs with VMO
Coefficients . . . . . . . . . . . . . . 2262--2285
T. E. Duncan and
B. Maslowski and
B. Pasik-Duncan Semilinear Stochastic Equations in a
Hilbert Space with a Fractional Brownian
Motion . . . . . . . . . . . . . . . . . 2286--2315
I. Ciuperca and
M. Jai and
J. I. Tello On the Existence of Solutions of
Equilibria in Lubricated Journal
Bearings . . . . . . . . . . . . . . . . 2316--2327
Shantia Yarahmadian and
Kevin Zumbrun Pointwise Green Function Bounds and
Long-Time Stability of Large-Amplitude
Noncharacteristic Boundary Layers . . . 2328--2350
G. Dal Maso and
I. Fonseca and
G. Leoni and
M. Morini A Higher Order Model for Image
Restoration: The One-Dimensional Case 2351--2391
Zhi-Cheng Wang and
Wan-Tong Li and
Jianhong Wu Entire Solutions in Delayed Lattice
Differential Equations with Monostable
Nonlinearity . . . . . . . . . . . . . . 2392--2420
S. P. Hastings and
J. B. McLeod An Elementary Approach to a Model
Problem of Lagerstrom . . . . . . . . . 2421--2436
S. L. Lee Vector Fields for Mean Value Coordinates 2437--2450
Matthieu Hillairet and
Takéo Takahashi Collisions in Three-Dimensional Fluid
Structure Interaction Problems . . . . . 2451--2477
Adriana Buic\ua and
Jaume Llibre and
Oleg Makarenkov Asymptotic Stability of Periodic
Solutions for Nonsmooth Differential
Equations with Application to the
Nonsmooth van der Pol Oscillator . . . . 2478--2495
Yu Jin and
Xiao-Qiang Zhao Spatial Dynamics of a Nonlocal Periodic
Reaction-Diffusion Model with Stage
Structure . . . . . . . . . . . . . . . 2496--2516
Nicolas Forcadel and
Régis Monneau Existence of Solutions for a Model
Describing the Dynamics of Junctions
Between Dislocations . . . . . . . . . . 2517--2535
Bo Li Minimization of Electrostatic Free
Energy and the Poisson--Boltzmann
Equation for Molecular Solvation with
Implicit Solvent . . . . . . . . . . . . 2536--2566
Zhengguang Guo and
Yong Zhou Wave Breaking and Persistence Properties
for the Dispersive Rod Equation . . . . 2567--2580
Gui-Qiang Chen and
Dehua Wang and
Xiaozhou Yang Evolution of Discontinuity and Formation
of Triple-Shock Pattern in Solutions to
a Two-Dimensional Hyperbolic System of
Conservation Laws . . . . . . . . . . . 1--25
Evgeniy Panov On Weak Completeness of the Set of
Entropy Solutions to a Scalar
Conservation Law . . . . . . . . . . . . 26--36
Igor Bock and
Ji\vrí Jaru\vsek Solvability of Dynamic Contact Problems
for Elastic von Kármán Plates . . . . . . 37--45
Adrien Blanchet and
Jean Dolbeault and
Micha Kowalczyk Stochastic Stokes' Drift, Homogenized
Functional Inequalities, and Large Time
Behavior of Brownian Ratchets . . . . . 46--76
Benjamin D. Goddard Rate of Convergence of the Configuration
Interaction Model for the Helium Ground
State . . . . . . . . . . . . . . . . . 77--116
Walid K. Abou Salem and
Catherine Sulem Stochastic Acceleration of Solitons for
the Nonlinear Schrödinger Equation . . . 117--152
Laure Saint-Raymond Weak Compactness Methods for Singular
Penalization Problems with Boundary
Layers . . . . . . . . . . . . . . . . . 153--177
Xu Gang and
Yin Huicheng Global Multidimensional Transonic Conic
Shock Wave for the Perturbed Supersonic
Flow Past a Cone . . . . . . . . . . . . 178--218
Rowan Killip and
Dong Li and
Monica Visan and
Xiaoyi Zhang Characterization of Minimal-Mass Blowup
Solutions to the Focusing Mass-Critical
NLS . . . . . . . . . . . . . . . . . . 219--236
Song Jiang and
Jianwen Zhang Boundary Layers for the Navier--Stokes
Equations of Compressible
Heat-Conducting Flows with Cylindrical
Symmetry . . . . . . . . . . . . . . . . 237--268
Boris Ettinger and
Edriss S. Titi Global Existence and Uniqueness of Weak
Solutions of Three-Dimensional Euler
Equations with Helical Symmetry in the
Absence of Vorticity Stretching . . . . 269--296
Dmitri Finkelshtein and
Yuri Kondratiev and
Oleksandr Kutoviy Individual Based Model with Competition
in Spatial Ecology . . . . . . . . . . . 297--317
Sandra Martínez and
Noemi Wolanski A Singular Perturbation Problem for a
Quasi-Linear Operator Satisfying the
Natural Growth Condition of Lieberman 318--359
Pierre-Emmanuel Jabin and
Athanasios E. Tzavaras Kinetic Decomposition for Periodic
Homogenization Problems . . . . . . . . 360--390
Junde Wu and
Shangbin Cui Asymptotic Stability of Stationary
Solutions of a Free Boundary Problem
Modeling the Growth of Tumors with Fluid
Tissues . . . . . . . . . . . . . . . . 391--414
Wolf-Patrick Düll and
Guido Schneider A Waiting Time Phenomenon in Pattern
Forming Systems . . . . . . . . . . . . 415--433
Michela Eleuteri and
Jana Kopfová and
Pavel Krej\vcí Magnetohydrodynamic Flow with Hysteresis 435--464
Kathleen A. Hoffman and
Robert S. Manning An Extended Conjugate Point Theory with
Application to the Stability of Planar
Buckling of an Elastic Rod Subject to a
Repulsive Self-Potential . . . . . . . . 465--494
Elaine Cozzi Vanishing Viscosity in the Plane for
Nondecaying Velocity and Vorticity . . . 495--510
Anne-Laure Dalibard Asymptotic Behavior of a Rapidly
Rotating Fluid with Random Stationary
Surface Stress . . . . . . . . . . . . . 511--563
Maria E. Schonbek Existence and Decay of Polymeric Flows 564--587
Jon Wilkening Practical Error Estimates for Reynolds'
Lubrication Approximation and its Higher
Order Corrections . . . . . . . . . . . 588--630
Gero Friesecke and
Benjamin D. Goddard Explicit Large Nuclear Charge Limit of
Electronic Ground States for Li, Be, B,
C, N, O, F, Ne and Basic Aspects of the
Periodic Table . . . . . . . . . . . . . 631--664
M. Bulí\vcek and
J. Málek and
K. R. Rajagopal Mathematical Analysis of Unsteady Flows
of Fluids with Pressure, Shear-Rate, and
Temperature Dependent Material Moduli
that Slip at Solid Boundaries . . . . . 665--707
Mathieu Colin and
David Lannes Short Pulses Approximations in
Dispersive Media . . . . . . . . . . . . 708--732
P. Gurevich and
W. Jäger and
A. Skubachevskii On Periodicity of Solutions For
Thermocontrol Problems with
Hysteresis-Type Switches . . . . . . . . 733--752
David Hoff and
Misha Perepelitsa Instantaneous Boundary Tangency and Cusp
Formation in Two-Dimensional Fluid Flow 753--780
Nicolas Dirr and
Enza Orlandi Sharp-Interface Limit of a
Ginzburg--Landau Functional with a
Random External Field . . . . . . . . . 781--824
Erhan Bayraktar and
Hao Xing Analysis of the Optimal Exercise
Boundary of American Options for Jump
Diffusions . . . . . . . . . . . . . . . 825--860
Scipio Cuccagna and
Mirko Tarulli On Asymptotic Stability of Standing
Waves of Discrete Schrödinger Equation in
$ \mathbb {Z} $ . . . . . . . . . . . . 861--885
Paul Deuring Spatial Decay of Time-Dependent Oseen
Flows . . . . . . . . . . . . . . . . . 886--922
Henry C. Simpson and
Scott J. Spector Applications of Estimates near the
Boundary to Regularity of Solutions in
Linearized Elasticity . . . . . . . . . 923--935
Margaret Beck and
Jürgen Knobloch and
David J. B. Lloyd and
Björn Sandstede and
Thomas Wagenknecht Snakes, Ladders, and Isolas of Localized
Patterns . . . . . . . . . . . . . . . . 936--972
Yury Grabovsky Exact Relations for Effective
Conductivity of Fiber-Reinforced
Conducting Composites with the Hall
Effect via a General Theory . . . . . . 973--1024
Sylvia Novo and
Rafael Obaya and
Víctor M. Villarragut Exponential Ordering for Nonautonomous
Neutral Functional Differential
Equations . . . . . . . . . . . . . . . 1025--1053
Samuel Walsh Stratified Steady Periodic Water Waves 1054--1105
Viorel Barbu and
Giuseppe Da Prato and
Michael Röckner Stochastic Nonlinear Diffusion Equations
with Singular Diffusivity . . . . . . . 1106--1120
S. B. Angenent and
J. Hulshof and
H. Matano The Radius of Vanishing Bubbles in
Equivariant Harmonic Map Flow from $ D^2
$ to $ S^2 $ . . . . . . . . . . . . . . 1121--1137
Christophe Lacave and
Evelyne Miot Uniqueness for the Vortex-Wave System
When the Vorticity Is Constant Near the
Point Vortex . . . . . . . . . . . . . . 1138--1163
Graziano Guerra and
Francesca Marcellini and
Veronika Schleper Balance Laws with Integrable Unbounded
Sources . . . . . . . . . . . . . . . . 1164--1189
Constantine M. Dafermos and
Ronghua Pan Global $ B V $ Solutions for the
$P$-System with Frictional Damping . . . 1190--1205
R. Mikulevicius On Strong $ H_2^1 $-Solutions of
Stochastic Navier--Stokes Equation in a
Bounded Domain . . . . . . . . . . . . . 1206--1230
Hartmut Schwetlick and
Johannes Zimmer Existence of Dynamic Phase Transitions
in a One-Dimensional Lattice Model with
Piecewise Quadratic Interaction
Potential . . . . . . . . . . . . . . . 1231--1271
Xianpeng Hu and
Dehua Wang Low Mach Number Limit of Viscous
Compressible Magnetohydrodynamic Flows 1272--1294
Sergey V. Lototsky and
Boris L. Rozovskii Stochastic Partial Differential
Equations Driven by Purely Spatial Noise 1295--1322
Felipe Linares and
Ademir Pastor Well-Posedness for the Two-Dimensional
Modified Zakharov--Kuznetsov Equation 1323--1339
Luca Natile and
Giuseppe Savaré A Wasserstein Approach to the
One-Dimensional Sticky Particle System 1340--1365
Christoph Walker Positive Equilibrium Solutions for Age-
and Spatially-Structured Population
Models . . . . . . . . . . . . . . . . . 1366--1387
Alexander Mielke and
Laetitia Paoli and
Adrien Petrov On Existence and Approximation for a
$3$D Model of Thermally Induced Phase
Transformations in Shape-Memory Alloys 1388--1414
Stanislaw Migórski and
Anna Ochal Quasi-Static Hemivariational Inequality
via Vanishing Acceleration Approach . . 1415--1435
Gitta Kutyniok and
Tomas Sauer Adaptive Directional Subdivision Schemes
and Shearlet Multiresolution Analysis 1436--1471
Ansgar Jüngel and
Josipa-Pina Mili\vsi\'c A Sixth-Order Nonlinear Parabolic
Equation for Quantum Systems . . . . . . 1472--1490
Holger Dette and
Jan Nagel Some Asymptotic Properties of the
Spectrum of the Jacobi Ensemble . . . . 1491--1507
J. Vancostenoble and
E. Zuazua Hardy Inequalities, Observability, and
Control for the Wave and Schrödinger
Equations with Singular Potentials . . . 1508--1532
Youshan Tao and
Mingjun Wang A Combined Chemotaxis-haptotaxis System:
The Role of Logistic Source . . . . . . 1533--1558
Anne Boutet de Monvel and
Aleksey Kostenko and
Dmitry Shepelsky and
Gerald Teschl Long-time Asymptotics for the
Camassa--Holm Equation . . . . . . . . . 1559--1588
Hermano Frid and
Jean Silva Homogenization of Nonlinear PDEs in the
Fourier--Stieltjes Algebras . . . . . . 1589--1620
Jonathan Dorfman and
Lawrence C. Evans A ``Lakes and Rivers'' Heuristic
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Nonlinear Diffusion PDE . . . . . . . . 1621--1652
Namkwon Kim Large Friction Limit and the Inviscid
Limit of $2$D Navier--Stokes Equations
Under Navier Friction Condition . . . . 1653--1663
Yoshie Sugiyama On $ \varepsilon $-Regularity Theorem
and Asymptotic Behaviors of Solutions
for Keller--Segel Systems . . . . . . . 1664--1692
Shuxing Chen and
Jinbo Geng and
Yongqian Zhang Isentropic Approximation of
Quasi--One-Dimensional Unsteady Nozzle
Flow . . . . . . . . . . . . . . . . . . 1693--1712
Victor Palamodov Reconstruction of a Differential Form
from Doppler Transform . . . . . . . . . 1713--1720
Alexander Plakhov Comment on ``Functions and Domains
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Augusto Visintin Phase Transitions and Glass Formation in
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Tohru Nakamura and
Shinya Nishibata Convergence Rate Toward Planar
Stationary Waves for Compressible
Viscous Fluid in Multidimensional Half
Space . . . . . . . . . . . . . . . . . 1757--1791
Chérif Amrouche and
\vSárka Ne\vcasová and
Yves Raudin From Strong to Very Weak Solutions to
the Stokes System with Navier Boundary
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Li Liu and
Hairong Yuan Global Uniqueness of Transonic Shocks in
Divergent Nozzles for Steady Potential
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Jian-Guo Liu and
Wei-Cheng Wang Characterization and Regularity for
Axisymmetric Solenoidal Vector Fields
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Pavel Krej\vcí and
Elisabetta Rocca and
Jürgen Sprekels A Bottle in a Freezer . . . . . . . . . 1851--1873
Marco Barchiesi and
Gianni Dal Maso Homogenization of Fiber Reinforced
Brittle Materials: The Extremal Cases 1874--1889
Luigi Ambrosio and
Gianluca Crippa and
Alessio Figalli and
Laura V. Spinolo Some New Well-Posedness Results for
Continuity and Transport Equations, and
Applications to the Chromatography
System . . . . . . . . . . . . . . . . . 1890--1920
Mathew A. Johnson Nonlinear Stability of Periodic
Traveling Wave Solutions of the
Generalized Korteweg--de Vries Equation 1921--1947
Martin Hanke and
Nuutti Hyvönen and
Stefanie Reusswig An Inverse Backscatter Problem for
Electric Impedance Tomography . . . . . 1948--1966
Tomá\vs Dohnal and
Michael Plum and
Wolfgang Reichel Localized Modes of the Linear Periodic
Schrödinger Operator with a Nonlocal
Perturbation . . . . . . . . . . . . . . 1967--1993
Giles Auchmuty Reproducing Kernels for Hilbert Spaces
of Real Harmonic Functions . . . . . . . 1994--2009
P. G. Kevrekidis and
D. E. Pelinovsky and
A. Stefanov Asymptotic Stability of Small Bound
States in the Discrete Nonlinear
Schrödinger Equation . . . . . . . . . . 2010--2030
Enea Parini and
Athanasios Stylianou On the Positivity Preserving Property of
Hinged Plates . . . . . . . . . . . . . 2031--2037
Sanjiban Santra and
Juncheng Wei Homoclinic Solutions for Fourth Order
Traveling Wave Equations . . . . . . . . 2038--2056
Xiaohong Qin and
Yi Wang Stability of Wave Patterns to the Inflow
Problem of Full Compressible
Navier--Stokes Equations . . . . . . . . 2057--2087
Nicola Costanzino and
Vahagn Manukian and
Christopher K. R. T. Jones Solitary Waves of the Regularized Short
Pulse and Ostrovsky Equations . . . . . 2088--2106
Lincoln Chayes and
María del Mar González and
Maria Pia Gualdani and
Inwon Kim Global Existence and Uniqueness of
Solutions to a Model of Price Formation 2107--2135
Carmen Cortázar and
Manuel Elgueta and
Jorge García-Melián and
Salomé Martínez Existence and Asymptotic Behavior of
Solutions to Some Inhomogeneous Nonlocal
Diffusion Problems . . . . . . . . . . . 2136--2164
Martin Hanke and
Nuutti Hyvönen and
Stefanie Reusswig Erratum: An Inverse Backscatter Problem
for Electric Impedance Tomography . . . 1495--1497
Bo Li Erratum: ``Minimization of Electrostatic
Free Energy and the Poisson--Boltzmann
Equation for Molecular Solvation with
Implicit Solvent'' . . . . . . . . . . . 2776--2777
Namkwon Kim Corrigendum: Large Friction Limit and
the Inviscid Limit of $2$D
Navier--Stokes Equations under Navier
Friction Condition . . . . . . . . . . . 1992--1994