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Nonlinear Evolution Equations and Related Topics Book

Nonlinear Evolution Equations and Related Topics
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  • Nonlinear Evolution Equations and Related Topics
  • Written by author Wolfgang Arendt
  • Published by Springer-Verlag New York, LLC, September 2008
  • Philippe Benilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of nonlinear evolution equations. The present volume is dedicated to him and contains research papers written by highly distinguished mathe
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Authors

Intrinsic metrics and Lipschitz functions11
Decay estimates for "anisotropic" viscous Hamilton-Jacobi equations in R[superscript N]27
The Cauchy problem for linear growth functionals39
Asymptotic behaviour for the porous medium equation posed in the whole space67
Dirichlet and Neumann boundary conditions : what is in between?119
The focusing problem for the Eikonal equation137
Weak solutions and supersolutions in L[superscript 1] for reaction-diffusion systems153
Global well-posedness and stability of a partial integro-differential equation with applications to viscoelasticity169
On some singular limits of homogeneous semigroups203
Singular limit of changing sign solutions of the porous medium equation215
On the regularizing effect of strongly increasing lower order terms225
Global smooth solutions for a quasilinear fractional evolution equation237
On the uniqueness of solutions for nonlinear elliptic-parabolic equations247
Conservation laws with discontinuous flux functions and boundary condition283
Regularity of solutions of nonlinear Volterra equations303
Nonautonomous heat equations with generalized Wentzell boundary conditions321
Maximal L[superscript p]-regularity for elliptic operators with VMO-coefficients332
Linearized stability for nonlinear evolution equations361
Nonlinear evolutions with Caratheodory forcing375
Linear parabolic equations with singular potentials395
Some noncoercive parabolic equations with lower order terms in divergence form407
On the motion of rigid bodies in a viscous incompressible fluid419
Minimization problems for eigenvalues of the Laplacian443
Rate of decay to equilibrium in some semilinear parabolic equations463
A new regularity result for Ornstein-Uhlenbeck generators and applications485
Global solution and smoothing effect for a non-local regularization of a hyperbolic equation499
Convergence to equilibrium for a parabolic problem with mixed boundary conditions in one space dimension523
Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces549
Pointwise gradient estimates of solutions to onedimensional nonlinear parabolic equations577
Uniqueness of entropy solutions for nonlinear degenerate parabolic problems603
Oscillatory boundary conditions for acoustic wave equations623
Existence and uniqueness results for large solutions of general nonlinear elliptic equations637
Another way to say caloric653
Nonlinear problems related to the Thomas-Fermi equation673
Existence of attractors in L[superscript [infinity]] ([Omega]) for a class of reaction-diffusion systems771
Uniqueness for an elliptic-parabolic problem with Neumann boundary condition785


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