Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs

被引：107

作者：

Caffarelli, LA ^{[1
]}

Feldman, M

McCann, RJ

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[3] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 15卷 / 01期

关键词：

Monge-Kantorovich mass transportation; resource allocation; optimal map; optimal coupling; infinite dimensional linear programming; dual problem; Wasserstein distance;

D O I：

10.1090/S0894-0347-01-00376-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：1 / 26

页数：26

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