Local stability of traveling-wave solutions of nonlinear reaction-diffusion equations

被引：0

作者：

Hou, XJ ^{[1
]}

Li, Y

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Hunan Normal Univ, Dept Math, Changsha, Peoples R China

[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2006年 / 15卷 / 02期

关键词：

nonlinear; reaction diffusion; Banach spaces; Fisher-KPP-type nonlinearity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the local stability of traveling-wave solutions of the nonlinear reaction-diffusion equations in various weighted Banach spaces. New methods are used in analyzing the location of the spectrum. The result covers the stability results of the traveling-wave solutions of reaction-diffusion equations including the well known Fisher-KPP-type nonlinearity.

引用

页码：681 / 701

页数：21

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