Submitted Paper
Inserted: 24 jun 2010
Last Updated: 1 mar 2014
Year: 2010
Abstract:
In this paper we study short time behavior of heat semigroup in connection with the geometry of sets with finite perimeter; we assume $C^{1,1}$ 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.
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