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.
@article{AIHPC_2012__29_4_525_0, author = {Goldman, M. and Novaga, M.}, title = {Approximation and relaxation of perimeter in the {Wiener} space}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {525--544}, publisher = {Elsevier}, volume = {29}, number = {4}, year = {2012}, doi = {10.1016/j.anihpc.2012.01.008}, mrnumber = {2948287}, zbl = {1244.49074}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2012.01.008/} }
TY - JOUR AU - Goldman, M. AU - Novaga, M. TI - Approximation and relaxation of perimeter in the Wiener space JO - Annales de l'I.H.P. Analyse non linéaire PY - 2012 SP - 525 EP - 544 VL - 29 IS - 4 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2012.01.008/ DO - 10.1016/j.anihpc.2012.01.008 LA - en ID - AIHPC_2012__29_4_525_0 ER -
%0 Journal Article %A Goldman, M. %A Novaga, M. %T Approximation and relaxation of perimeter in the Wiener space %J Annales de l'I.H.P. Analyse non linéaire %D 2012 %P 525-544 %V 29 %N 4 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2012.01.008/ %R 10.1016/j.anihpc.2012.01.008 %G en %F AIHPC_2012__29_4_525_0
Goldman, M.; Novaga, M. Approximation and relaxation of perimeter in the Wiener space. Annales de l'I.H.P. Analyse non linéaire, Volume 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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