Bistable Traveling Waves for Monotone Semiflows with Applications
Analysis of PDEs
2011-02-23 v1 Dynamical Systems
Abstract
This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. Under an abstract setting, we establish the existence of bistable traveling waves for discrete and continuous-time monotone semiflows. This result is then extended to the cases of periodic habitat and weak compactness, respectively. We also apply the developed theory to four classes of evolution systems.
Keywords
Cite
@article{arxiv.1102.4556,
title = {Bistable Traveling Waves for Monotone Semiflows with Applications},
author = {Jian Fang and Xiao-Qiang Zhao},
journal= {arXiv preprint arXiv:1102.4556},
year = {2011}
}