The Monge-Ampere equation: Classical local applications and recent nonlocal developments

Analisys Seminar  | Fernando Charro Caballero

Analisys Seminar 

Speaker: Fernando Charro Caballero,  Universidade de Coimbra

Date: 2017, december, 6th

Time: 2 pm

Place: Room 1.5, building VII 

 

Abstract:

In this talk we will present the classical local Monge-Ampere equation and some of its applications to optimal transport and differential geometry. We will discuss the degeneracy of the equation and the challenges it poses for regularity of solutions. Finally, we will consider a nonlocal analogue of the Monge-Ampere operator, recently introduced in a joint work with Luis Caffarelli.