Geometric theory of semilinear parabolic equations
著者
書誌事項
Geometric theory of semilinear parabolic equations
（Lecture notes in mathematics, 840）
Springer-Verlag, 1981
- : Berlin
- : New York
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注記
Bibliography: p. [335]-342
Includes index
内容説明・目次
内容説明
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.
目次
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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