Local L^\infty estimates for optimal transport problems

Seminar series

Partial Differential Equations Seminar

Date

Mon, 13 Oct 2025

Time

16:30 - 17:30

Location

Speaker

Prof Lukas Koch

Organisation

School of Mathematical and Physical Sciences University of Sussex

I will explain how to obtain local L^\infty estimates for optimal transport problems. Considering entropic optimal transport and optimal transport with p-cost, I will show how such estimates, in combination with a geometric linearisation argument, can be used in order to obtain ε-regularity statements. This is based on recent work in collaboration with M. Goldman (École Polytechnique) and R. Gvalani (ETH Zurich).