Approximation and relaxation of perimeter in the Wiener space
arXiv:1107.3325 · doi:10.1016/j.anihpc.2012.01.008
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.