Advances in Differential Equations
Volume 13

The evolution of dead cores in strongly degenerate diffusion problems

Instantaneous support shrinking phenomenon in the case of fast diffusion for a doubly nonlinear parabolic equation with absorption

Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions

  • Stéphane Gerbi and Belkacem Said-Houari

    Volume 13, 2008, pages 1051 -1074

An identification problem with evolution on the boundary of parabolic type

  • Alfredo Lorenzi and Francesca Messina

    Volume 13, 2008, pages 1075 -1108

Morse theory and a scalar field equation on compact surfaces

Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation

  • Marek Fila, Michael Winkler, and Eiji Yanagida

    Volume 13, 2008, pages 1131 -1149

Reaction-diffusion problems with non-Fredholm operators

  • A. Ducrot, M. Marion, and V. Volpert

    Volume 13, 2008, pages 1151-1192

Regularity results for non smooth parabolic problems

Asymptotic expansion of solutions to an inverse problem of parabolic type

Exponential averaging under rapid quasiperiodic forcing

Wiener’s criterion at ∞ for the heat equation

Uniqueness theorem in weighted Sobolev spaces of the Cauchy problem for Schrödinger type equations with variable coefficients

On the Blasius problem

  • Bernard Brighi, Augustin Fruchard, and Tewfik Sari

    Volume 13, 2008, pages 509 -600

Symmetry and asymmetry: the method of moving spheres

  • Qinian Jin, YanYan Li, and Haoyuan Xu

    Volume 13, 2008, pages 601-640

Countable branching of similarity solutions of higher-order porous medium type equations

An explicit finite difference scheme for the Camassa-Holm equation

  • Giuseppe Maria Coclite, Kenneth H. Karlsen, and Nils Henrik Risebro

    Volume 13, 2008, pages 681 -732

Exponential decay of Timoshenko systems with indefinite memory dissipation

  • Hugo D. Fernández Sare and Jaime E. Muñoz Rivera

    Volume 13, 2008, pages 733 -752

Entire solutions and global bifurcations for a biharmonic equation with singular non-linearity in $\Bbb R^3$

Two compressible immiscible fluids in porous media: the case where the porosity depends on the pressure

On strong solutions of a planetary geostrophic model of the ocean

Multiple boundary bubbling phenomenon of solutions to a Neumann problem

Positive solutions for singular semilinear elliptic systems

  • Jesús Hernández, Francisco J. Mancebo, and José M. Vega

    Volume 13, 2008, pages 857 -880

Nodal bubbling solutions to a weighted sinh-Poisson equation

Localized large reaction for a non-linear reaction-diffusion system

  • Noureddine Igbida and Fahd Karami

    Volume 13, 2008, pages 907 -933

Junction of one-dimensional minimization problems involving $S^2$ valued maps

  • Antonio Gaudiello and Rejeb Hadiji

    Volume 13, 2008, pages 935-958

On the sign of solutions to some linear parabolic biharmonic equations

Local strong solutions of a parabolic system related to the Boussinesq approximation for buoyancy-driven flow with viscous heating

  • J. I. Díaz, J. M. Rakotoson, and P. G. Schmidt

    Volume 13, 2008, pages 977 -1000

On the Cauchy problem for a coupled system of KdV equations: critical case

Conservation of boundary decay and nonconvergent bounded gradients in degenerate diffusion problems

Global low regularity solutions of quasi-linear wave equations

Symmetry of extremal functions in Moser-Trudinger inequalities and a Hénon type problem in dimension two Denis

  • Denis Bonheure, Enrico Serra, and Massimo Tarallo

    Volume 13, 2008, pages 105 -138

Intrinsic Harnack estimates for some doubly nonlinear degenerate parabolic equations

Remarks on NLS with higher order anisotropic dispersion

Corrigendum: “On the dual Petrov-Galerkin formulation of the KdV equation on a finite interval”

A free boundary characterization of measure-valued solutions for forward-backward diffusion

On the Wiener test for degenerate parabolic equations with non-standard growth condition

Variational methods for ordinary $p$-Laplacian systems with potential boundary conditions

The critical Neumann problem for semilinear elliptic equations with the Hardy potential

Asymptotic behavior of strong solutions for nonlinear parabolic equations with critical Sobolev exponent