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Interior C 2,alpha regularity for potential functions in optimal transportation

Liu, Jiakun; Trudinger, Neil; Wang, Xu-Jia

Description

In this paper we study the continuity of second derivatives of solutions to the Monge-Ampère equation arising in optimal transportation. We obtain Hölder and more general continuity estimates for second derivatives, when the inhomogeneous term is Hölde

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
URI: http://hdl.handle.net/1885/22403
Source: Communications in Partial Differential Equations
DOI: 10.1080/03605300903236609

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