An optimal matching problem

被引：29

作者：

Ekeland, I ^{[1
]}

机构：

[1] Univ British Columbia, Vancouver, BC V6T 1Z2, Canada

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2005年 / 11卷 / 01期

关键词：

optimal transportation; measure-preserving maps;

D O I：

10.1051/cocv:2004034

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Given two measured spaces (X, mu) and (Y, nu), and a third space Z, given two functions u(x, z) and upsilon(x, z), we study the problem of finding two maps s : X -> Z and t : Y -> Z such that the images s(mu) and t(nu) coincide, and the integral integral(X) u(x, s(x))d mu - integral(Y) upsilon(y, t(y))d nu is maximal. We give condition on u and upsilon for which there is a unique solution.

引用

页码：57 / 71

页数：15

共 8 条

[1]

[Anonymous], 1998, MASS TRANSPORTATION

[2] POLAR FACTORIZATION AND MONOTONE REARRANGEMENT OF VECTOR-VALUED FUNCTIONS [J].