Nonlinear Evolution Equations and Related Topics: Dedicated to Philippe Bénilan

Front Matter....Pages i-xiii
Introduction....Pages 1-9
Intrinsic metrics and Lipschitz functions....Pages 11-25
Decay estimates for “anisotropic” viscous Hamilton-Jacobi equations in ℝ N ....Pages 27-37
The Cauchy problem for linear growth functionals....Pages 39-65
Asymptotic behaviour for the porous medium equation posed in the whole space....Pages 67-118
Dirichlet and Neumann boundary conditions: What is in between?....Pages 119-135
The focusing problem for the Eikonal equation....Pages 137-151
Weak solutions and supersolutions in L 1 for reaction-diffusion systems....Pages 153-168
Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity....Pages 169-201
On some singular limits of homogeneous semigroups....Pages 203-214
Singular limit of changing sign solutions of the porous medium equation....Pages 215-224
On the regularizing effect of strongly increasing lower order terms....Pages 225-236
Global smooth solutions for a quasilinear fractional evolution equation....Pages 237-246
On the uniqueness of solutions for nonlinear elliptic-parabolic equations....Pages 247-281
Conservation laws with discontinuous flux functions and boundary condition....Pages 283-301
Regularity of solutions of nonlinear Volterra equations....Pages 303-319
Nonautonomous heat equations with generalized Wentzell boundary conditions....Pages 321-331
Maximal L p -regularity for elliptic operators with VMO-coefficients....Pages 332-359
Linearized stability for nonlinear evolution equations....Pages 361-373
Nonlinear evolutions with Carathéodory forcing....Pages 375-394
Linear parabolic equations with singular potentials....Pages 395-406
Some noncoercive parabolic equations with lower order terms in divergence form....Pages 407-418
On the motion of rigid bodies in a viscous incompressible fluid....Pages 419-441
Minimization problems for eigenvalues of the Laplacian....Pages 443-461
Rate of decay to equilibrium in some semilinear parabolic equations....Pages 463-484
A new regularity result for Ornstein-Uhlenbeck generators and applications....Pages 485-498
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation....Pages 499-521
Convergence to equilibrium for a parabolic problem with mixed boundary conditions in one space dimension....Pages 523-548
Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces....Pages 549-576
Pointwise gradient estimates of solutions to onedimensional nonlinear parabolic equations....Pages 577-602
Uniqueness of entropy solutions for nonlinear degenerate parabolic problems....Pages 603-622
Oscillatory boundary conditions for acoustic wave equations....Pages 623-635
Existence and uniqueness results for large solutions of general nonlinear elliptic equations....Pages 637-652
Another way to say caloric....Pages 653-672
Nonlinear problems related to the Thomas-Fermi equation....Pages 673-770
Existence of attractors in L ∞ (Ω) for a class of reaction-diffusion systems....Pages 771-784
Uniqueness for an elliptic-parabolic problem with Neumann boundary condition....Pages S273-S295