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.
Approximation and relaxation of perimeter in the Wiener space
NOVAGA, MATTEO
2012
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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