Approximation and relaxation of perimeter in the Wiener space
M. Goldman
CMAP, CNRS UMR 7641, Ecole Polytechnique, 91128 Palaiseau, FranceM. Novaga
Dipartimento di Matematica, Università di Padova, via Trieste 63, 35121 Padova, Italy
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Abstract
We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak -topology. We also show that the rescaled Allen–Cahn functionals approximate this relaxed functional in the sense of Γ-convergence.
Cite this article
M. Goldman, M. Novaga, Approximation and relaxation of perimeter in the Wiener space. Ann. Inst. H. Poincaré Anal. Non Linéaire 29 (2012), no. 4, pp. 525–544
DOI 10.1016/J.ANIHPC.2012.01.008