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Regularity of Potential Functions of the Optimal Transportation Problem

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Date

2005

Authors

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

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

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

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Keywords

Citation

URI

http://hdl.handle.net/1885/79847

Collections

ANU Research Publications

Source

Archive for Rational Mechanics and Analysis

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1007/s00205-005-0362-9

Restricted until

2037-12-31

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01_Trudinger_Regularity_of_Potential_2005.pdf (279.1 KB)

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