On the Monge-Ampère equatin on Wiener space
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Publication:1005431
DOI10.1134/S1064562406010017zbMath1155.60323OpenAlexW2000391913MaRDI QIDQ1005431
V. L. Bogachev, Alexander V. Kolesnikov
Publication date: 9 March 2009
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562406010017
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (4)
Evolution systems and continuity equations for white noise functionals ⋮ Wasserstein space over the Wiener space ⋮ Sobolev regularity for the Monge-Ampère equation in the Wiener space ⋮ Sobolev regularity for the infinite-dimensional Monge-Ampère equation
Cites Work
- A convexity principle for interacting gases
- Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
- 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
- Transportation cost for Gaussian and other product measures
- Polar factorization and monotone rearrangement of vector‐valued functions
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