Approximation and relaxation of perimeter in the Wiener space
Analysis of PDEs
2015-05-28 v1 Functional Analysis
Probability
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.
Keywords
Cite
@article{arxiv.1107.3325,
title = {Approximation and relaxation of perimeter in the Wiener space},
author = {Michael Goldman and Matteo Novaga},
journal= {arXiv preprint arXiv:1107.3325},
year = {2015}
}