Approximation and relaxation of perimeter in the Wiener space
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math.FAmath.PR
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perimeterrelaxationspacewienerallen-cahnapproximateapproximationcharacterize
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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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