On the Jordan-Kinderlehrer-Otto variational scheme and constrained optimization in the Wasserstein metric

DOI10.1007/s00526-007-0134-5zbMath1145.35006OpenAlexW1985393753MaRDI QIDQ926294

Adrian Tudorascu

Publication date: 27 May 2008

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-007-0134-5

zbMATH Keywords

Lagrange multipliersestimates for the fourth-order momentsmonotonicity of the second-order moments

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Initial value problems for second-order parabolic equations (35K15) Discrete approximations in optimal control (49M25)

Related Items (5)

One-dimensional numerical algorithms for gradient flows in the \(p\)-Wasserstein spaces ⋮ A Trotter product formula for gradient flows in metric spaces ⋮ A Harnack inequality for the Jordan-Kinderlehrer-Otto scheme ⋮ On a Nonlinear, Nonlocal Parabolic Problem with Conservation of Mass, Mean and Variance ⋮ Stability of RCD condition under concentration topology

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• The Variational Formulation of the Fokker--Planck Equation
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• A variational approach for the 2-dimensional semi-geostrophic shallow water equations

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