Nonlinear Semigroups, Partial Differential Equations and Attractors: Proceedings of a Symposium held in Washington, D.C., August 3–7, 1987

John A. Burns, Terry L. Herdman, Janos Turi (auth.), Tepper L. Gill, Woodford William Zachary (eds.)9780387515946, 0-387-51594-1

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 :
State-space formulation for functional differential equations of neutral-type….Pages 1-10
Some remarks on forced integrable systems….Pages 11-17
Some remarks on the nonlinear Schrödinger equation in the critical case….Pages 18-29
On the integrability of nonlinear evolution equations….Pages 30-43
On quasilinear hyperbolic integrodifferential equations in unbounded domains….Pages 44-55
Positive solutions for semilinear elliptic systems….Pages 56-67
Recent rigorous results in Thomas-Fermi theory….Pages 68-82
Methods of computing fractal dimensions….Pages 83-95
Asymptotic behavior of solutions to quasimonotone parabolic systems….Pages 96-116
Global existence for semilinear parabolic systems via Lyapunov type methods….Pages 117-121
A difference inclusion….Pages 122-130
Spectrum estimations for the generalized quantum Henon-Heiles system….Pages 131-135
A survey of local existence theories for abstract nonlinear initial value problems….Pages 136-184
The transient semiconductor problem with generation terms, II….Pages 185-198
Switching systems and periodicity….Pages 199-210
Breathers for the Sine-Gordon equation….Pages 211-217
The riccati equation revisited….Pages 218-233