article

Title: Stability of traveling waves for degenerate systems of reaction diffusion equations

Authors: Anna Ghazaryan, Yuri Latushkin and Stephen Schecter

Issue: Volume 60 (2011), Issue 2, 443-472

Abstract:

For the linearization of a degenerate reaction-diffusion system at a traveling pulse or front, we prove a theorem that allows one to derive information about the semigroup generated by the linear operator from spectral information about the linear operator itself. The result is used to complete existing proofs of stability of traveling fronts for the Fitzhugh-Nagumo equation.