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
2012
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.File in questo prodotto:
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