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On Asymptotic Behaviour and W 2, p Regularity of Potentials in Optimal Transportation

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Date

2014

Authors

Liu, Jiakun
Trudinger, Neil
Wang, Xu-Jia

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

In this paper we study local properties of cost and potential functions in optimal transportation. We prove that in a proper normalization process, the cost function is uniformly smooth and converges locally smoothly to a quadratic cost x · y, while the

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Keywords

Citation

URI

http://hdl.handle.net/1885/64521

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/s00205-014-0797-y

Restricted until

2037-12-31

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