Regularity in Monge's mass transfer problem

Li, Qi-Rui; Santambrogio, Filippo; Wang, Xu-Jia

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Regularity in Monge's mass transfer problem

Date

2014

Authors

Li, Qi-Rui

Santambrogio, Filippo

Wang, Xu-Jia

Publisher

Gauthier-Villars

Abstract

In this paper, we study the regularity of optimal mappings in Monge's mass transfer problem. Using the approximation to Monge's cost function c(x, y)=|x-y| through the costs cε(x,y)=ε2+|x-y|2, we consider the optimal mappings Tε for these costs, and we

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http://hdl.handle.net/1885/76069

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ANU Research Publications

Source

Journal de Mathematiques Pures et Appliquees

Type

Journal article

DOI

10.1016/j.matpur.2014.03.001

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2037-12-31

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Regularity in Monge's mass transfer problem

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