Analyticity of stable invariant manifolds of 1D-semilinear parabolic equations

被引：0

作者：

Fursikov, A. V. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119992, Russia

来源：

Control Methods in PDE-Dynamical Systems | 2007年 / 426卷

关键词：

semi linear parabolic equation; invariant manifold; analyticity; stabilization;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is devoted to the proof of analyticity of the stable invariant manifold in a neighborhood of the zero steady-state solution of a semilinear parabolic equation under the assumption that this steady-state solution is unstable. This investigation may have possible applications in stabilization theory for semilinear parabolic equation.

引用

页码：219 / 242

页数：24

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