Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium

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Date
2015
Volume
2108
Issue
Journal
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WIAS Preprints
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We consider a non-local phase transition equation set in a periodic medium and we construct solutions whose interface stays in a slab of prescribed direction and universal width. The solutions constructed also enjoy a local minimality property with respect to a suitable non-local energy functional.

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Citation
Cozzi, M., & Valdinoci, E. (2015). Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium. Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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