Optimal density evolution with congestion: L∞ bounds via flow interchange techniques and applications to variational Mean Field Games

DOI10.1080/03605302.2018.1499116zbMath1414.49026arXiv1705.05658OpenAlexW2964179434MaRDI QIDQ4634009

Filippo Santambrogio, Hugo Lavenant

Publication date: 7 May 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05658

zbMATH Keywords

regularityoptimality conditionsoptimal transportMoser iterationcongestion gameminimal action curves

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Applications of optimal control and differential games (49N90) Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

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