On the Lagrangian description of absolutely continuous curves in the Wasserstein space on the line; well-posedness for the Continuity Equation
DOI10.1512/iumj.2015.64.5727zbMath1343.35062OpenAlexW2512116081MaRDI QIDQ2788642
Mohamed Amsaad, Adrian Tudorascu
Publication date: 22 February 2016
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/0fbf06f5eec5160420ed114b373c6f5914bb3e48
Probability distributions: general theory (60E05) PDEs in connection with fluid mechanics (35Q35) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) 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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