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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
