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.
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页码：681 / 701
页数：21
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