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

Xiaojie Hou; Yi Li

doi:10.3934/dcds.2006.15.681

Article Contents

2006, Volume 15, Issue 2: 681-701. Doi: 10.3934/dcds.2006.15.681

This issue Previous Article Multiple solutions for a class of quasilinear problems Next Article Preface

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

Xiaojie Hou^1, and
Yi Li^2,

1.
Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio
2.
Department of Mathematics, Hunan Normal University, Changsha, Hunan

Received: January 2005

Revised: October 2005

Published: April 2006

Abstract Related Papers Cited by

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.

Keywords:

Mathematics Subject Classification: Primary: 35B35; Secondary: 35K57, 35B40, 35P15.

Citation:

Article Metrics

HTML views() PDF downloads(181) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content