Second order local minimal-time mean field games
DOI10.1007/s00030-022-00767-2zbMath1492.35352arXiv2005.11928OpenAlexW3028456990MaRDI QIDQ2144247
Guilherme Mazanti, Romain Ducasse, Filippo Santambrogio
Publication date: 1 June 2022
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.11928
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear systems in control theory (93C10) Brownian motion (60J65) Diffusion processes (60J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93) Fokker-Planck equations (35Q84) Mean field games (aspects of game theory) (91A16) PDEs in connection with mean field game theory (35Q89)
Related Items (3)
Cites Work
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- A remark on uniqueness of weak solutions for some classes of parabolic problems
- Semiconcave functions, Hamilton-Jacobi equations, and optimal control
- Mean field games. I: The stationary case
- Mean field games. II: Finite horizon and optimal control
- Mean field games
- Compact sets in the space \(L^ p(0,T;B)\)
- Résolution de problèmes elliptiques quasilineaires
- Existence of solutions for some ``noncoercive parabolic equations
- Elliptic partial differential equations of second order
- Mean field games with congestion
- Lecture notes on variational mean field games
- Weak solutions to Fokker-Planck equations and mean field games
- Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Controlled Markov processes and viscosity solutions
- Local behavior of solutions of quasilinear parabolic equations
- Linear and quasilinear elliptic equations
- Long Time Average of Mean Field Games with a Nonlocal Coupling
- Short-time existence of solutions for mean-field games with congestion
- T<scp>HE</scp> F<scp>LOW OF</scp> H<scp>UMAN</scp> C<scp>ROWDS</scp>
- Minimal-time mean field games
- Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
- Set-valued analysis
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