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.

Perimeter of sublevel sets in infinite dimensional spaces / V., Caselles; Lunardi, Alessandra; M., Miranda jr; M., Novaga. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 5:(2012), pp. 59-76.

Perimeter of sublevel sets in infinite dimensional spaces

LUNARDI, Alessandra;
2012-01-01

Abstract

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.
2012
Perimeter of sublevel sets in infinite dimensional spaces / V., Caselles; Lunardi, Alessandra; M., Miranda jr; M., Novaga. - In: ADVANCES IN CALCULUS OF VARIATIONS. - ISSN 1864-8258. - 5:(2012), pp. 59-76.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2434318
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