no. 4
Approximation and relaxation of perimeter in the Wiener space
Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 525-544.

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 Γ-convergence.

DOI : 10.1016/j.anihpc.2012.01.008
Mots clés : Variational problems, Gamma-convergence, Infinite dimensional analysis 
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     title = {Approximation and relaxation of perimeter in the {Wiener} space},
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Goldman, M.; Novaga, M. Approximation and relaxation of perimeter in the Wiener space. Annales de l'I.H.P. Analyse non linéaire, Tome 29 (2012) no. 4, pp. 525-544. doi : 10.1016/j.anihpc.2012.01.008. http://www.numdam.org/articles/10.1016/j.anihpc.2012.01.008/

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