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

页码：781 / 787

页数：7

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