Calculus of Variations and Geometric Measure Theory
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A first analysis of the Monge Problem with vanishing gradient penalization.

Luigi De Pascale (Dip. Mat. Appl. Univ. Pisa)

created by dicastro on 28 May 2014

4 jun 2014 -- 17:00   [open in google calendar]

Aula Riunioni - Department of Mathematics, University of Pisa

Abstract.

The approximation of the Monge problem by a family of functionals with vanishing gradient penalization will be discussed. In particular it will be shown the first order Gamma-limit may select a minimizer different form the monotone one. When the class of minimizers selected by the first order limit is empty an higher order Gamma-limit will be investigated. The density of special classes of transport maps will be investigated as a tool. (Joint work with Jean Louet and Filippo Santambrogio of the Universit\'e de Paris Sud-Orsay).

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