Gradient flows on Wasserstein spaces over compact Alexandrov spaces

DOI10.1353/ajm.0.0048zbMath1169.53053OpenAlexW2080373264MaRDI QIDQ3624426

Shin-Ichi Ohta

Publication date: 30 April 2009

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/v131/131.2.ohta.pdf

zbMATH Keywords

entropyFokker-Planck equationRiemannian manifoldsgradient flowtangent coneWasserstein spacestrong differentiability\(2\)-unifrom smoothnessAlexandrow space

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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