# Geometric properties of heat content

created by miranda on 24 Jun 2010
modified by paolini on 01 Mar 2014

[BibTeX]

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.