Regularity theory for Optimal Transportation
- Lecturer: Felix Otto
- Date: Wednesday 09:15 - 11:00
- Room: MPI MiS, A3 01
- Target audience: MSc students, PhD students, Postdocs
- Language: English
- Keyword: Regularity theory
- Prerequisites: The arguments will be fairly self-contained, mostly relying on properties of convex functions and elementary arguments in PDE, like the maximum principle.
The plan is to start the by now classical regularity theory for the Monge-Ampere equation, and optimal transportation, by L. Caffarelli from the 90s, and then to treat the partial regularity theory by Figalli and Kim, in order to come to a recent completely variational theory. If time permits, we also address the case of a general cost function.