Calculus of Variations and Geometric Measure Theory

A variational approach to nonlocal and crystalline curvature flows

Marcello Ponsiglione (Dip. Mat. Univ. Roma ``La Sapienza'')

created by gelli on 18 Oct 2015

28 oct 2015 -- 17:00   [open in google calendar]

Aula Seminari Dipartimento di Matematica di Pisa


In this seminar I will introduce a generalized notion of (local and nonlocal) perimeter and curvature. Then, I will describe the corresponding geometric flows, showing the coherence between variational methods (based on the minimizing movements approach) and viscosity methods. Finally, I will describe a new approach to existence and uniqueness of crystalline curvature flows. The results presented in this seminar are in collaboration with A. Chambolle and M. Morini.