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arXiv · 1107.3325

Approximation and relaxation of perimeter in the Wiener space

Michael Goldman·Matteo Novaga
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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.

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Michael Goldman, Matteo Novaga. 2011-07-17. Approximation and relaxation of perimeter in the Wiener space. https://doi.org/10.1016/j.anihpc.2012.01.008

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