Approximation and relaxation of perimeter in the Wiener space

M. Goldman; M. Novaga

doi:10.1016/j.anihpc.2012.01.008

Approximation and relaxation of perimeter in the Wiener space

M. Goldman
, M. Novaga

University of Padova

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L²-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Γ-convergence.

langue originale	Anglais
Pages (de - à)	525-544
Nombre de pages	20
journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	29
Numéro de publication	4
Les DOIs	https://doi.org/10.1016/j.anihpc.2012.01.008
état	Publié - 1 janv. 2012

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10.1016/j.anihpc.2012.01.008

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title = "Approximation and relaxation of perimeter in the Wiener space",

abstract = "We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L2-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Γ-convergence.",

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AU - Novaga, M.

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AB - We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L2-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Γ-convergence.

KW - Gamma-convergence

KW - Infinite dimensional analysis

KW - Variational problems

UR - https://www.scopus.com/pages/publications/84864129088

U2 - 10.1016/j.anihpc.2012.01.008

DO - 10.1016/j.anihpc.2012.01.008

M3 - Article

AN - SCOPUS:84864129088

SN - 0294-1449

VL - 29

SP - 525

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JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 4

ER -

Approximation and relaxation of perimeter in the Wiener space

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