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偏微分方程讨论班【陈世炳】
题目:Partial $W^{2,p}$ regularity in optimal transportation

报告人:陈世炳博士,澳大利亚国立大学数学系
 
时间:2月14日周二下午16:30-17:30

地点:管研楼1518

摘要: I will present some recent work on the partial $W^{2,p}$ regularity result on the optimal transport problem.
In particular, we prove that under mild conditions (ensuring the existence of optimal maps), the potential functions of the optimal
transport map is locally $W^{2,p}$ outside a closed singular set of measure 0. This is a joint work with Alessio Figalli.

邀请人:麻希南

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