Title

Local Stability of Traveling Wave Solutions of Nonlinear Reaction Diffusion Equations

Document Type

Article

Publication Date

2006

Abstract

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.

DOI

dx.doi.org/10.3934/dcds.2006.15.681

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