30 nov 2015 -- 11:00
Aula B, Dip. Matematica, Università "La Sapienza", Roma
Abstract.
I will introduce a class of generalized (local and nonlocal) perimeters and curvatures. I will prove an existence and uniqueness result for the corresponding geometric flows, showing the consistency between viscosity and variational methods. Finally, I will introduce a new notion of crystalline curvature flow, providing existence and uniqueness (up to fattening) of the solution in any dimension and starting from any closed set. The results have been obtained in collaboration with A. Chambolle and M. Morini.