Calculus of Variations and Geometric Measure Theory
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M. Goldman - M. Novaga

Approximation and relaxation of perimeter in the Wiener space

created by novaga on 08 Jul 2011
modified by goldman on 30 Jan 2012


Accepted Paper

Inserted: 8 jul 2011
Last Updated: 30 jan 2012

Journal: Annales de l'IHP (Analyse Non Lineaire)
Year: 2011


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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