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arXiv:1107.3325 [math.AP]AbstractReferencesReviewsResources

Approximation and relaxation of perimeter in the Wiener space

Michael Goldman, Matteo Novaga

Published 2011-07-17Version 1

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.

Categories: math.AP, math.FA, math.PR
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