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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.

Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium / M. Cozzi, E. Valdinoci. - In: JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES. - ISSN 2429-7100. - 4(2017), pp. 337-388. [10.5802/jep.45]

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

M. Cozzi;E. Valdinoci
2017

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.
No
English
Nous considérons une équation de transition de phase non locale dans un milieu périodique et nous construisons des solutions dont l’interface se trouve dans un domaine de direction prescrite et de largeur universelle. Les solutions construites jouissent aussi d’une propriété de minimalité locale par rapport à une certaine fonctionnelle d’énergie non locale.
Fractional Laplacian; Non-local energies; Phase transitions; Plane-like minimizers
Settore MAT/05 - Analisi Matematica
Articolo
Esperti anonimi
Pubblicazione scientifica
2017
Ecole Polytechnique
4
337
388
52
Pubblicato
Periodico con rilevanza internazionale
WOS:000604798300009
2-s2.0-85019534594
NON aderisco
info:eu-repo/semantics/article
Plane-like minimizers for a non-local Ginzburg-Landau-type energy in a periodic medium / M. Cozzi, E. Valdinoci. - In: JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES. - ISSN 2429-7100. - 4(2017), pp. 337-388. [10.5802/jep.45]
none
Prodotti della ricerca::01 - Articolo su periodico
2
262
Article (author)
no
M. Cozzi, E. Valdinoci
01 - Articolo su periodico
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/734215
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