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.

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