Γ−convergence of Modica-Mortola type Functional

July 12, 2019
Versione stampabile
Venue: Seminar Room “-1” – Department of Mathematics – Via Sommarive, 14 Povo - Trento
Time: 10:00 a.m.
 
Fares Essebei - PhD in Mathematics
 
Abstract
In the framework of Carnot-Carathéodoryy spaces, we show a variational approximation, by means of Γ−convergence, of the functional studied by Modica and Mortola. In order to give a proof of the latter, we introduce definitions and important results about functions of bounded variation, perimeters, Minkowski content and coarea formulas.
 
The seminar corresponds to the final exam of Geometric Measure Theory, a planned course within  Essebei's  first year PHD study programme
 
Contact person: Francesco Serra Cassano