Parabolic Optimal Transport Equations on Manifolds

DOI10.1093/imrn/rnr188zbMath1253.49036arXiv1008.3824OpenAlexW2963651635MaRDI QIDQ3165342

Micah W. Warren, Young-Heon Kim, Jeffrey Streets

Publication date: 26 October 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3824

zbMATH Keywords

compact Riemannian manifoldparabolic optimal transport equationstay-away singularity propertystrong Ma-Trudinger-Wang condition

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (5)

Exponential convergence of parabolic optimal transport on bounded domains ⋮ The Monge–Ampère equation and its link to optimal transportation ⋮ A Perturbative Approach to the Parabolic Optimal Transport Problem ⋮ The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations ⋮ Asymptotic analysis of domain decomposition for optimal transport

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