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

✍ Scribed by Joel D. Avrin (auth.), Tepper L. Gill, Woodford W. Zachary (eds.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1987
• Tongue: English
• Leaves: 193
• Series: Lecture Notes in Mathematics 1248
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ 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

✦ Subjects

Algebra