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arXiv · 1403.6097

On a maximum principle for vector minimizers to the Allen-Cahn energy

Christos Sourdis
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Abstract

By using the unique continuation principle for linear elliptic systems, we can simplify the proof of a recent variational maximum principle due to Alikakos and Fusco. At the same time, this approach allows us to relax an assumption from the latter reference.

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Christos Sourdis. 2014-03-24. On a maximum principle for vector minimizers to the Allen-Cahn energy. https://arxiv.org/abs/1403.6097

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