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

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

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

Date

2010

Authors

Liu, Jiakun

Trudinger, Neil

Wang, Xu-Jia

Publisher

Marcel Dekker Inc.

Abstract

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