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
2012-01-01
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.File in questo prodotto:
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