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Free discontinuities in optimal transport

发布时间:2022-12-09 浏览量:74

时   间:  2022-12-09 14:00 — 15:00

地   点:  腾讯会议 APP3()
报告人:  Shibing Chen
单   位:  University of Science and Technology of China
邀请人:  谢春景
备   注:  Tencent Meeting ID: 887 344 429; Passcode: 221209
报告摘要:  

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.