Boundary regularity of optimal transport maps on convex domains
数学专题报告
报告题目(Title):Boundary regularity of optimal transport maps on convex domains
报告人(Speaker):Tristan C. Collins (University of Toronto)
地点(Place):ZOOM ID:916 8504 2077 PWD:318482
时间(Time):2025年11月21日(周五)9:30-10:30
邀请人(Inviter):熊金钢
报告摘要
I will discuss a new approach to boundary regularity of optimal transport maps (for the quadratic cost) on convex domains based on ideas from geometric regularity theory and a new monotonicity formula. As an application I will highlight some applications of these ideas to global regularity for non-degenerate densities. This is joint work with Freid Tong.
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html