Calculus of Variations and Geometric Measure Theory

Regularity of optimal transport maps and partial differential inclusions

Guido De Philippis (Courant Institute of Mathematics)

created by magnani on 21 Jan 2011

2 feb 2011

Abstract.

Dipartimento di Matematica - Aula Magna - ore 17:00

ABSTRACT: I discuss the regularity of planar optimal transport maps, in a ``critical'' case not covered presently in the literature and show as the regularity problem is related to a ``rigidity'' problem for partial differential inclusions.