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- Title
Geometric properties of the heat content.
- Authors
Angiuli, Luciana; Massari, Umberto; Miranda, Michele
- 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 C 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. This work is the natural continuation of Miranda et al. (Ann Fac Sci Toulouse Math (6) 16(1):125-145, ) and is in the spirit of van den Berg and Le Gall (Math Z 215(3):437-464, ).
- Subjects
ENTHALPY; SEMIGROUPS (Algebra); SEMIGROUP algebras; CURVATURE; RADON measures
- Publication
Manuscripta Mathematica, 2013, Vol 140, Issue 3/4, p497
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-012-0550-5