时 间: 2022-12-09 14:00 — 15:00
We consider the optimal transport problem when the target domain consists of two bounded disjoint convex sets, which is a basic model where the optimal map presents singularity. In this talk we will discuss the regularity of singular set in this model. In particular, we will show that the singular set is a smooth hypersurface, provided the domains and densities are smooth.