Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium held in Washington, D.C., August 5–8, 1985

Joel D. Avrin (auth.), Tepper L. Gill, Woodford W. Zachary (eds.)9780387177410, 0-387-17741-8

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

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Table of contents :
Convergence properties of strongly-damped semilinear wave equations….Pages 1-4
Numerical solution of certain nonlinear parabolic partial differential equations….Pages 5-14
The explicit solution of nonlinear ordinary and partial differential equations I. Conceptual ideas….Pages 15-27
Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics….Pages 28-39
Existence of radially symmetric solutions of strongly damped wave equations….Pages 40-51
Strongly damped semilinear second order equations….Pages 52-62
Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE….Pages 63-77
Evolution equations with nonlinear boundary conditions….Pages 78-84
Asymptotically smooth semigroups and applications….Pages 85-93
The principle of spatial averaging and inertial manifolds for reaction-diffusion equations….Pages 94-107
Applications of semigroup theory to reaction-diffusion systems….Pages 108-126
Ultrasingularities in nonlinear waves….Pages 127-133
A reaction-hyperbolic system in physiology….Pages 134-141
Compact perturbations of linear m-dissipative operators which lack Gihman’s property….Pages 142-161
Two compactness lemmas….Pages 162-168
The riccati equation: When nonlinearity reduces to linearity….Pages 169-185