# Geometric properties of the heat content

created by miranda on 06 Mar 2012
modified on 16 Nov 2012

[BibTeX]

Accepted Paper

Inserted: 6 mar 2012
Last Updated: 16 nov 2012

Journal: Manuscripta Mathematica
Year: 2012

Abstract:

In this paper we study the short time behavior of heat semigroup in connection wihe geometry of sets with ﬁnite perimeter; we assume $C^{1,1}$ regularity and we relate theat semigroup with curvatures of the initial datum. We also study the behavior wheingularities occur; this is the case when the mean curvature is no more a function, but ho be considered as a Radon measure.