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

Published 16 Feb 2014 in math.AP | (1402.3844v2)

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

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