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arXiv · 1402.3844

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation

Christos Sourdis
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Abstract

We prove optimal lower bounds for the growth of the energy over balls of minimizers to the vectorial Allen-Cahn energy in two spatial dimensions, as the radius tends to infinity. In the case of radially symmetric solutions, we can prove a stronger result in all dimensions.

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Christos Sourdis. 2014-02-16. Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation. https://arxiv.org/abs/1402.3844

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