Approximation and relaxation of perimeter in the Wiener space
Michael D. Goldman, Matteo Novaga · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2012
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 Γ -convergence.