A maximum principle for systems with variational structure and an application to standing waves
Analysis of PDEs
2013-11-06 v1
Abstract
We establish via variational methods the existence of a standing wave together with an estimate on the convergence to its asymptotic states for a bistable system of partial differential equations on a periodic domain. The main tool is a replacement lemma which has as a corollary a maximum principle for local minimizers.
Cite
@article{arxiv.1311.1022,
title = {A maximum principle for systems with variational structure and an application to standing waves},
author = {Nicholas D. Alikakos and Giorgio Fusco},
journal= {arXiv preprint arXiv:1311.1022},
year = {2013}
}
Comments
17 pages