Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan

by Wolfgang Arendt (Editor), Haïm Brézis (Editor), Michel Pierre (Editor)

Intrinsic metrics and Lipschitz functions.- Decay estimates for "anisotropic" viscous Hamilton-Jacobi equationsin RN.- The Cauchy problem for linear growth functionals.- Asymptotic behaviour for the porous medium equation posedin the whole space.- Dirichlet and Neumann boundary What is in between?.- The focusing problem for the Eikonal equation.- Weak solutions and supersolutions in L1 for reaction-diffusion systems.- Global well-posedness and stability of a partial integro-differentialequation with applications to viscoelasticity.- On some singular limits of homogeneous semigroups.- Singular limit of changing sign solutions of the porous mediumequation.- On the regularizing effect of strongly increasing lower order terms.- Global smooth solutions for a quasilinear fractional evolution equation.- On the uniqueness of solutions for nonlinear elliptic-parabolicequations.- Conservation laws with discontinuous flux functions and boundary condition.- Regularity of solutions of nonlinear Volterra equations.- Nonautonomous heat equations with generalized Wentzellboundary conditions.- Maximal LP-regularity for elliptic operators with VMO-coefficients.- Linearized stability for nonlinear evolution equations.- D. Bothe Nonlinear evolutions with Carathéodory forcing.- Linear parabolic equations with singular potentials.- Some noncoercive parabolic equations with lower order termsin divergence form.- E. Feireisl On the motion of rigid bodies in a viscous incompressible fluid.- Minimization problems for eigenvalues of the Laplacian.- Rate of decay to equilibrium in some semilinear parabolic equations.- A new regularity result for Ornstein- Uhlenbeck generatorsand applications.- Global solution and smoothing effect for a non-local regularizationof a hyperbolic equation.- Convergence to equilibrium for a parabolic problem with mixedboundary conditions in one space dimension.- Analyticity of solutions to fully nonlinear parabolic evolutionequations on symmetric spaces.- Pointwise gradient estimates of solutions to onedimensionalnonlinear parabolic equations.- Uniqueness of entropy solutions for nonlinear degenerate parabolic problems.- Oscillatory boundary conditions for acoustic wave equations.- Existence and uniqueness results for large solutions of generalnonlinear elliptic equations.- Another way to say caloric.- Nonlinear problems related to the Thomas-Fermi equation.- Existence of attractors in L¡ã0(fi) for a class of reaction-diffusionsystems.- Uniqueness for an elliptic-parabolic problem with Neumannboundary condition.

824 pages, Paperback

First published August 20, 2004