Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium Held in Washington, DC, August 5-8, 1985

ISBN-13: 9783540177418 / Angielski / Miękka / 1987 / 188 str.

T. L. Gill; Woodford W. Zachary

Opis

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.

Spis treści

Convergence properties of strongly-damped semilinear wave equations.- Numerical solution of certain nonlinear parabolic partial differential equations.- The explicit solution of nonlinear ordinary and partial differential equations I. Conceptual ideas.- Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics.- Existence of radially symmetric solutions of strongly damped wave equations.- Strongly damped semilinear second order equations.- Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE.- Evolution equations with nonlinear boundary conditions.- Asymptotically smooth semigroups and applications.- The principle of spatial averaging and inertial manifolds for reaction-diffusion equations.- Applications of semigroup theory to reaction-diffusion systems.- Ultrasingularities in nonlinear waves.- A reaction-hyperbolic system in physiology.- Compact perturbations of linear m-dissipative operators which lack Gihman's property.- Two compactness lemmas.- The riccati equation: When nonlinearity reduces to linearity.