In this paper we study the short time behavior of heat semigroup in connection with the geometry of sets with finite perimeter; we assume a quitable regularity and we relate the heat semigroup with curvatures of the initial datum. We also study the behavior when singularities occur; this is the case when the mean curvature is no more a function, but has to be considered as a Radon measure.

Geometric properties of the heat content

MASSARI, Umberto;MIRANDA, Michele
2013

Abstract

In this paper we study the short time behavior of heat semigroup in connection with the geometry of sets with finite perimeter; we assume a quitable regularity and we relate the heat semigroup with curvatures of the initial datum. We also study the behavior when singularities occur; this is the case when the mean curvature is no more a function, but has to be considered as a Radon measure.
2013
L., Angiuli; Massari, Umberto; Miranda, Michele
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1775099
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