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Author: Cozzi, Matteo × Subject: fractional Laplacian ×

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