Approximate inertial manifolds for retarded semilinear parabolic equations

被引：7

作者：

Rezounenko, AV ^{[1
]}

机构：

[1] Kharkov AM Gorkii State Univ, Dept Mech & Math, UA-61077 Kharkov, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 282卷 / 02期

关键词：

D O I：

10.1016/S0022-247X(03)00199-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The asymptotic behavior of a system of retarded parabolic equations is considered. For any given eta > 0 we construct an approximate inertial manifold (AIM) which contains all the steady states of the system and has an attractive neighborhood of thickness eta. The dependence of AIMs on the delay time is investigated. (C) 2003 Published by Elsevier lnc.

引用

页码：614 / 628

页数：15

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