Continuity for the Monge Mass Transfer Problem in Two Dimensions

Qi Rui Li; Filippo Santambrogio; Xu Jia Wang

doi:10.1007/s00205-018-1294-5

Continuity for the Monge Mass Transfer Problem in Two Dimensions

Qi Rui Li, Filippo Santambrogio^*, Xu Jia Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.

Original language	English
Pages (from-to)	1045-1071
Number of pages	27
Journal	Archive for Rational Mechanics and Analysis
Volume	231
Issue number	2
DOIs	https://doi.org/10.1007/s00205-018-1294-5
Publication status	Published - 7 Feb 2019

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title = "Continuity for the Monge Mass Transfer Problem in Two Dimensions",

abstract = "In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.",

author = "Li, \{Qi Rui\} and Filippo Santambrogio and Wang, \{Xu Jia\}",

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AU - Santambrogio, Filippo

AU - Wang, Xu Jia

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Y1 - 2019/2/7

N2 - In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.

AB - In this paper, we prove the continuity of the monotone optimal mapping of the Monge mass transfer problem in two dimensions under certain conditions on the domains and the mass distributions.

UR - https://www.scopus.com/pages/publications/85051481863

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JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

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Continuity for the Monge Mass Transfer Problem in Two Dimensions

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