Vicent Caselles, Alessandra Lunardi, Michele Miranda Jr, Matteo Novaga. Perimeter of sublevel sets in infinite dimensional spaces

Natural Sciences / Mathematics / Calculus / Analysis

Submitted on: Oct 06, 2012, 08:47:05

Description: We compare the perimeter measure with the Airault-Malliavin surface measure and we prove that all open convex subsets of abstract Wiener spaces have finite perimeter. By an explicit counter-example, we show that in general this is not true for compact convex domains.

The abstract of this article will be published in the October 2012 issue of "Intellectual Archive Bulletin", ISSN 1929-1329.

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