Abstract: In this course I will present the basic existence and regularity theory for real Monge-Ampère equation and some of its applications to Optimal Transport, Convex Geometry and (if time will permit) Meteorology. In particular I plan to address all the classical theory based on the continuity method as well as all the viscosity solution theory based on the notion of Aleksandrov solutions.
Inizio lezioni: lunedi' 13 aprile ore 15:30 aula 5 DiMaI
Calendario delle lezioni: il corso si svolgera' il lunedi' e il martedi' dalle 15:30 alle 17:30 in aula 5 del DiMaI nei giorni 13-14-20-21-27-28/04 e 4-5/05.