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

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


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

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
Source: Archive for Rational Mechanics and Analysis
DOI: 10.1007/s00205-014-0797-y


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