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发表时间:2018-01-04 阅读次数:666次
报告题目: Continuity of the optimal transport in 2D monge problem
报 告 人:Dr. Qi-Rui Li
报告人所在单位:The Australian National University
报告日期:2018-01-04 星期四
报告时间:14:00-15:00
报告地点:光华东主楼2201
  
报告摘要:

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.

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本年度学院报告总序号:2

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