Transport via mass transportation

DOI10.3934/dcdsb.2006.6.311zbMath1100.35028OpenAlexW1990654361MaRDI QIDQ2493500

David Kinderlehrer, Adrian Tudorascu

Publication date: 19 June 2006

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2006.6.311

zbMATH Keywords

Hamilton-Jacobi equationsWasserstein distanceoptimal mass transportationvelocity-jump processesdiscretized gradient flow

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Existence theories in calculus of variations and optimal control (49J99)

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Entropic Regularization of NonGradient Systems ⋮ Nonlinear diffusion equations with variable coefficients as gradient flows in Wasserstein spaces ⋮ Weak solutions to a fractional Fokker-Planck equation via splitting and Wasserstein gradient flow

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