Approximation and relaxation of perimeter in the Wiener space

Details Approximation and relaxation of perimeter in the Wiener space Approximation and relaxation of perimeter in the Wiener space

2011-07-17

arxiv.org/abs/1107.3325v1

Mathematics

Analysis of PDEs

Scientific paper

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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