Geometric Theory of Semilinear Parabolic Equations

Daniel Henry (auth.)9780387105574, 0-387-10557-3

Contents: Examples of Nonlinear Parabolic Equations in Physical, Biological and Engineering Problems.- Existence, Uniqueness and Continuous Dependence.- Dynamical Systems and Liapunov Stability.- Neighbourhood of an Equilibrium Point.- Invariant Manifolds Near an Equilibrium Point.- Linear Nonautonomous Equations.- Neighbourhood of a Periodic Solution.- Neighbourhood of an Invariant Manifold.

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Table of contents :
Introduction….Pages 1-2
Preliminaries….Pages 3-40
Examples of nonlinear parabolic equations in physical, biological and engineering problems….Pages 41-46
Existence, uniqueness and continuous dependence….Pages 47-81
Dynamical systems and liapunov stability….Pages 82-97
Neighborhood of an equilibrium point….Pages 98-142
Invariant manifolds near an equilibrium point….Pages 143-187
Linear nonautonomous equations….Pages 188-246
Neighborhood of a periodic solution….Pages 247-274
The neighborhood of an invariant manifold….Pages 275-313
Two examples….Pages 314-330