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arXiv:1311.1022 [math.AP]AbstractReferencesReviewsResources

A maximum principle for systems with variational structure and an application to standing waves

Nicholas D. Alikakos, Giorgio Fusco

Published 2013-11-05Version 1

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.

Comments: 17 pages
Categories: math.AP
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