Pattern formation, energy landscapes, and scaling laws

Felix Otto

Contact: Email
+49 (0) 341 - 9959 - 950

Inselstr. 22
04103 Leipzig

Administrative Assistant:
Katja Heid
Email, Phone/Fax:
+49 (0) 341 - 9959
- 951
- 658

Lecture in the Winter term 2017 / 2018

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.

20.03.2023, 09:09