Calculus of Variations and Geometric Measure Theory

Functions of bounded variation and the short-time behaviour of the heat semigroup

Diego Pallara (Dip. Mat. Fis. "E. De Giorgi", Univ. del Salento (Lecce))

created by magnani on 07 Mar 2014
modified on 12 Mar 2014

20 mar 2014 -- 16:00   [open in google calendar]

Aula Riunioni del Dipartimento di Matematica (Univ. di Pisa)

Abstract.

The total variation of a function and some other notions in geometric measure theory are connected to the short-time behaviour of the heat semigroup in various frameworks. After giving a brief general description of these relations, some details are given in the cases of Riemannian manifolds and Carnot groups.