Non-coercive first order mean field games

DOI10.1016/j.jde.2020.03.035zbMath1434.35245arXiv1811.12710OpenAlexW3014151426MaRDI QIDQ2181282

Claudio Marchi, Carlo Mariconda, Paola Mannucci, Nicoletta Tchou

Publication date: 18 May 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12710

zbMATH Keywords

continuity equationmean field gamesfirst order Hamilton-Jacobi equationsdegenerate optimal control problemnon-coercive Hamiltonian

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Systems of nonlinear first-order PDEs (35F50) Mean field games and control (49N80) PDEs in connection with mean field game theory (35Q89)

Related Items (5)

Regularity and necessary conditions for a Bolza optimal control problem ⋮ Deterministic mean field games with control on the acceleration ⋮ Generic properties of first-order mean field games ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ Non coercive unbounded first order mean field games: the Heisenberg example

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