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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	525-544
Number of pages	20
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	29
Issue number	4
DOIs	https://doi.org/10.1016/j.anihpc.2012.01.008
Publication status	Published - 1 Jan 2012

Keywords

Gamma-convergence
Infinite dimensional analysis
Variational problems

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10.1016/j.anihpc.2012.01.008

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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

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DO - 10.1016/j.anihpc.2012.01.008

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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

Abstract

Keywords

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