# Approximation and relaxation of perimeter in the Wiener space

created by novaga on 08 Jul 2011
modified by goldman on 30 Jan 2012

[BibTeX]

Accepted Paper

Inserted: 8 jul 2011
Last Updated: 30 jan 2012

Journal: Annales de l'IHP (Analyse Non Lineaire)
Year: 2011

Abstract:

We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak $L^2$-topology. We also show that the rescaled Allen-Cahn functionals approximate this relaxed functional in the sense of Gamma-convergence.