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

Sourdis, Christos (2014) Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation. (Submitted)

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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.

Item Type: Article
Depositing User: Dr. Christos Sourdis
Date Deposited: 18 Feb 2014 17:20
Last Modified: 15 Oct 2017 16:48
URI: http://preprints.acmac.uoc.gr/id/eprint/288

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