Inserted: 8 jul 2011
Last Updated: 30 jan 2012
Journal: Annales de l'IHP (Analyse Non Lineaire)
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.