THE POLAR CONE OF THE SET OF MONOTONE MAPS

被引：0
|
作者：
Cavalletti, Fabio [1 ]
Westdickenberg, Michael [1 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl Math Anal, D-52062 Aachen, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 02期
关键词：
Optimal transport; polar cone; CONVEX-FUNCTIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that every element of the polar cone to the closed convex cone of monotone transport maps can be represented as the divergence of a measure field taking values in the positive definite matrices.
引用
收藏
页码：781 / 787
页数：7
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