On the stability of equilibria to weakly coupled parabolic systems in unbounded domains

被引：5

作者：

Escher, J ^{[1
]}

Yin, ZY

机构：

[1] Univ Hannover, Inst Appl Math, D-30167 Hannover, Germany

[2] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 06期

关键词：

stable equilibria; parabolic systems; unbounded domains;

D O I：

10.1016/j.na.2004.10.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate weakly coupled semilinear parabolic systems in unbounded domains of R-2 or R-3 with general nonlinearities. We present several sufficient conditions on the nonlinearities which ensure the stability of the zero solution with respect to H-2-perturbations. In addition, various examples are discussed to illustrate the scope of application of our results. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1065 / 1084

页数：20

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