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Regularity of Potential Functions of the Optimal Transportation Problem

Trudinger, Neil; Ma, Xi-Nan; Wang, Xu-Jia


The potential function of the optimal transportation problem satisfies a partial differential equation of Monge-Ampère type. In this paper we introduce the notion of a generalized solution, and prove the existence and uniqueness of generalized solutions

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
Source: Archive for Rational Mechanics and Analysis
DOI: 10.1007/s00205-005-0362-9


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