Title

Stability of Travelling Waves with Noncritical Speeds for Double Degenerate Fisher-Type Equations

Document Type

Article

Publication Date

7-2008

Abstract

This paper is concerned with the asymptotic stability of travel- ling wave solutions for double degenerate Fisher-type equations. By spectral analysis, each travelling front solution with non-critical speed is proved to be linearly exponentially stable in some exponentially weighted spaces. Further by Evans function method and detailed semigroup estimates each travelling front solution with non-critical speed is proved to be locally algebraically stable to perturbations in some polynomially weighted spaces, and it is also locally exponentially stable to perturbations in some polynomially and exponentially weighted spaces.

DOI

10.3934/dcdsb.2008.10.149