Free discontinuities in optimal transport
时间  Datetime
2022-12-09 14:00 — 15:00
地点  Venue
腾讯会议APP2()
报告人  Speaker
Shibing Chen
单位  Affiliation
University of Science and Technology of China
邀请人  Host
数学科学学院
备注  remarks
Tencent Meeting ID: 887 344 429; Passcode: 221209
报告摘要  Abstract

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.
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