Calculus of Variations and Geometric Measure Theory
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L. Angiuli - U. Massari - M. Miranda Jr

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.


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