几何分析讨论班--Continuity of the optimal transport in 2D Monge problem
主 题: 几何分析讨论班--Continuity of the optimal transport in 2D Monge problem
报告人: Qi-Rui Li (The Australian National University)
时 间: 2017-07-19 10:10-12:00
地 点: 理科1号楼1303
Abstract: The optimal transportation problem was introduced by Monge in 1781. Since then the problem has been extensively studied and more general costs are allowed. But for Monge’s original cost |x-y|, very little is known about the regularity of the optimal mapping. In this talk, we show that, in two dimensional case, the optimal mapping is continuous. By a counter-example we show that the mapping fails to be Lipschitz in general. This is a joint work with F. Santambrogio and X.-J. Wang.