Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Nonlocal and crystalline curvature flows

Marcello Ponsiglione

created by risa on 27 Nov 2015

30 nov 2015 -- 11:00

Aula B, Dip. Matematica, Università "La Sapienza", Roma


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.

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