Geometric theory of semilinear parabolic equations

Author(s)

Bibliographic Information

Geometric theory of semilinear parabolic equations

Dan Henry

(Lecture notes in mathematics, 840)

Springer-Verlag, 1981

  • : Berlin
  • : New York

Available at  / 87 libraries

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Note

Bibliography: p. [335]-342

Includes index

Description and Table of Contents

Description

This volume on geometric theory of semilinear parabolic equations includes chapters on dynamical systems and Liapunov stability, linear non-autonomous equations, and invarient manifolds near and equilibrium point.

Table of Contents

Preliminaries.- Examples of nonlinear parabolic equations in physical, biological and engineering problems.- Existence, uniqueness and continuous dependence.- Dynamical systems and liapunov stability.- Neighborhood of an equilibrium point.- Invariant manifolds near an equilibrium point.- Linear nonautonomous equations.- Neighborhood of a periodic solution.- The neighborhood of an invariant manifold.- Two examples.

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