On the Jordan-Kinderlehrer-Otto scheme

DOI10.1016/j.jmaa.2015.04.010zbMath1318.65064arXiv1408.3180OpenAlexW2964130797MaRDI QIDQ2345474

Paul W. Y. Lee

Publication date: 22 May 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.3180

zbMATH Keywords

convergencegradient flowoptimal transportationdiffusion equationsWasserstein distancetime discretizationlinear parabolic equationsJordan-Kinderlehrer-Otto scheme

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

JKO estimates in linear and non-linear Fokker-Planck equations, and Keller-Segel: \(L^p\) and Sobolev bounds ⋮ Lipschitz estimates on the JKO scheme for the Fokker-Planck equation on bounded convex domains ⋮ A Harnack inequality for the Jordan-Kinderlehrer-Otto scheme

Cites Work

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• Sur le transport de mesures périodiques
• The Variational Formulation of the Fokker--Planck Equation
• Optimal Transport
• Polar factorization of maps on Riemannian manifolds
• \(BV\) estimates in optimal transportation and applications

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