Non coercive unbounded first order mean field games: the Heisenberg example
DOI10.1016/j.jde.2021.11.029zbMath1489.35284arXiv2112.15332OpenAlexW4200351256MaRDI QIDQ2062054
Claudio Marchi, Paola Mannucci, Nicoletta Tchou
Publication date: 22 December 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.15332
Fokker-Planck equationHeisenberg groupcontinuity equationfirst-order Hamilton-Jacobi equationsmean field gamesdegenerate optimal control problemHeisenberg-type groupsnoncoercive Hamiltonian
Optimality conditions for problems involving partial differential equations (49K20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Hamilton-Jacobi equations (35F21) Fokker-Planck equations (35Q84) Systems of nonlinear first-order PDEs (35F50) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)
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