On absolutely continuous curves of probabilities on the line

DOI10.3934/DCDS.2019207zbMath1418.35076OpenAlexW2960585162WikidataQ127762668 ScholiaQ127762668MaRDI QIDQ2000199

Adrian Tudorascu

Publication date: 28 June 2019

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

Full work available at URL: https://doi.org/10.3934/dcds.2019207

zbMATH Keywords

Wasserstein metricoptimal transportWasserstein spaceLagrangian flowEulerian and Lagrangian descriptionscontinuity eqspaces of Borel probabilitiesuationspaces of Borel probabilities

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) PDEs in connection with fluid mechanics (35Q35) Nonlinear first-order PDEs (35F20) Foundations of fluid mechanics (76A02) Methods of ordinary differential equations applied to PDEs (35A24) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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