Nonlinear Evolution Equations and Related Topics

Arendt, Wolfgang; Brézis, Haïm; Pierre, Michel

Nonlinear Evolution Equations and Related Topics

Edited by Wolfgang Arendt (), Haïm Brézis () and Michel Pierre ()

in Springer Books from Springer

Date: 2004
ISBN: 978-3-0348-7924-8
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Chapters in this book:

Introduction: Wolfgang Arendt, Haïm Brézis and Michel Pierre
Intrinsic metrics and Lipschitz functions: Francis Hirsch
Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in ℝ N: Saïd Benachour and Philippe Laurençot
The Cauchy problem for linear growth functionals: F. Andreu, V. Caselles and J. M. Mazón
Asymptotic behaviour for the porous medium equation posed in the whole space: Juan Luis Vázquez
Dirichlet and Neumann boundary conditions: What is in between?: Wolfgang Arendt and Mahamadi Warma
The focusing problem for the Eikonal equation: S. B. Angenent and D. G. Aronson
Weak solutions and supersolutions in L 1 for reaction-diffusion systems: Michel Pierre
Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity: S.-O. Londen, H. Petzeltová and J. Prüss
On some singular limits of homogeneous semigroups: P. Bénilan, L. C. Evans and R. F. Gariepy
Singular limit of changing sign solutions of the porous medium equation: Noureddine Igbida and Philippe Benilan
On the regularizing effect of strongly increasing lower order terms: Lucio Boccardo
Global smooth solutions for a quasilinear fractional evolution equation: Emilia Bazhlekova and Philippe Clément
On the uniqueness of solutions for nonlinear elliptic-parabolic equations: H. Gajewski and I. V. Skrypnik
Uniqueness for an elliptic-parabolic problem with Neumann boundary condition: Boris P. Andreianov and Fouzia Bouhsiss
Conservation laws with discontinuous flux functions and boundary condition: José Carrillo
Regularity of solutions of nonlinear Volterra equations: Volker G. Jakubowski and Petra Wittbold
Nonautonomous heat equations with generalized Wentzell boundary conditions: Jin Liang, Rainer Nagel and Ti-Jun Xiao
Maximal L p -regularity for elliptic operators with VMO-coefficients: Horst Heck and Matthias Hieber
Linearized stability for nonlinear evolution equations: Wolfgang M. Ruess
Nonlinear evolutions with Carathéodory forcing: Dieter Bothe
Linear parabolic equations with singular potentials: Herbert Amann
Some noncoercive parabolic equations with lower order terms in divergence form: Lucio Boccardo, Luigi Orsina and Alessio Porretta
On the motion of rigid bodies in a viscous incompressible fluid: Eduard Feireisl
Minimization problems for eigenvalues of the Laplacian: Antoine Henrot
Rate of decay to equilibrium in some semilinear parabolic equations: Alain Haraux, Mohamed Ali Jendoubi and Otared Kavian
A new regularity result for Ornstein-Uhlenbeck generators and applications: G. Da Prato
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation: J. Droniou, T. Gallouët and J. Vovelle
Convergence to equilibrium for a parabolic problem with mixed boundary conditions in one space dimension: Maria Gokieli and Frédérique Simondon
Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces: Joachim Escher and Gieri Simonett
Pointwise gradient estimates of solutions to onedimensional nonlinear parabolic equations: Philippe Bénilan and Jesús Ildefonso Díaz
Uniqueness of entropy solutions for nonlinear degenerate parabolic problems: Mohamed Maliki and Hamidou Touré
Oscillatory boundary conditions for acoustic wave equations: Ciprian G. Gal, Gisèle Ruiz Goldstein and Jerome A. Goldstein
Existence and uniqueness results for large solutions of general nonlinear elliptic equations: Moshe Marcus and Laurent Véron
Another way to say caloric: Michael G. Crandall and Pei-Yong Wang
Nonlinear problems related to the Thomas-Fermi equation: Philippe Bénilan and Haïm Brezis
Existence of attractors in L ∞ (Ω) for a class of reaction-diffusion systems: Philippe Benilan and Halima Labani

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DOI: 10.1007/978-3-0348-7924-8

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