A variational proof of global stability for bistable travelling waves
Analysis of PDEs
2007-05-23 v1
Abstract
We give a variational proof of global stability for bistable travelling waves of scalar reaction-diffusion equations on the real line. In particular, we recover some of the classical results by P. Fife and J.B. McLeod without any use of the maximum principle. The method that is illustrated here in the simplest possible setting has been successfully applied to more general parabolic or hyperbolic gradient-like systems.
Cite
@article{arxiv.math/0612684,
title = {A variational proof of global stability for bistable travelling waves},
author = {Thierry Gallay and Emmanuel Risler},
journal= {arXiv preprint arXiv:math/0612684},
year = {2007}
}
Comments
21 pages, 4 figures