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arXiv · 1311.1022

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

Nicholas D. Alikakos·Giorgio Fusco
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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.

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Nicholas D. Alikakos, Giorgio Fusco. 2013-11-05. A maximum principle for systems with variational structure and an application to standing waves. https://arxiv.org/abs/1311.1022

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