Sobolev regularity for the infinite-dimensional Monge-Ampère equation

DOI10.1134/S1064562412030088zbMath1261.46038OpenAlexW1998478676MaRDI QIDQ1761013

Alexander V. Kolesnikov, Vladimir I. Bogachev

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412030088

zbMATH Keywords

entropyWiener measureFisher informationoptimal transportMonge-Kantorovich problem

Mathematics Subject Classification ID

Measures and integration on abstract linear spaces (46G12) Probability theory on linear topological spaces (60B11)

Cites Work

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• On the Monge-Ampère equatin on Wiener space
• Monge-Kantorovitch measure transportation and Monge-Ampère equation on Wiener space
• The notion of convexity and concavity on Wiener space
• Convexity inequalities and optimal transport of infinite-dimensional measures
• ON THE MONGE–AMPÈRE EQUATION IN INFINITE DIMENSIONS

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