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Volumn 113, Issue , 2018, Pages 141-154

Strong solutions for time-dependent mean field games with non-separable Hamiltonians

Author keywords

Implicit function theorem; Mean field games; Perturbations; Strong solutions

Indexed keywords


EID: 85044051351     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2018.03.003     Document Type: Article
Times cited : (43)

References (22)
  • 1
    • 84964751489 scopus 로고    scopus 로고
    • Small strong solutions for time-dependent mean field games with local coupling
    • Ambrose, D.M., Small strong solutions for time-dependent mean field games with local coupling. C. R. Math. 354 (2016), 589–594.
    • (2016) C. R. Math. , vol.354 , pp. 589-594
    • Ambrose, D.M.1
  • 2
    • 85068762191 scopus 로고    scopus 로고
    • Notes on mean field games
    • Accessed on April 4, 2016
    • Cardaliaguet, P., Notes on mean field games. https://www.ceremade.dauphine.fr/~cardalia/MFG100629.pdf, 2012 Accessed on April 4, 2016.
    • (2012)
    • Cardaliaguet, P.1
  • 4
    • 84942369075 scopus 로고    scopus 로고
    • Second order mean field games with degenerate diffusion and local coupling
    • Cardaliaguet, P., Graber, P.J., Porretta, A., Tonon, D., Second order mean field games with degenerate diffusion and local coupling. Nonlinear Differ. Equ. Appl. 22:5 (2015), 1287–1317.
    • (2015) Nonlinear Differ. Equ. Appl. , vol.22 , Issue.5 , pp. 1287-1317
    • Cardaliaguet, P.1    Graber, P.J.2    Porretta, A.3    Tonon, D.4
  • 5
    • 0013229088 scopus 로고
    • Global vortex sheet solutions of Euler equations in the plane
    • Duchon, J., Robert, R., Global vortex sheet solutions of Euler equations in the plane. J. Differ. Equ. 73:2 (1988), 215–224.
    • (1988) J. Differ. Equ. , vol.73 , Issue.2 , pp. 215-224
    • Duchon, J.1    Robert, R.2
  • 6
    • 85043509767 scopus 로고    scopus 로고
    • Existence of weak solutions to stationary mean-field games through variational inequalities
    • arXiv:1512.05828v2, Preprint
    • Ferreira, R., Gomes, D., Existence of weak solutions to stationary mean-field games through variational inequalities. Preprint arXiv:1512.05828v2, 2015.
    • (2015)
    • Ferreira, R.1    Gomes, D.2
  • 7
    • 84892860445 scopus 로고    scopus 로고
    • On the existence of classical solutions for stationary extended mean field games
    • Gomes, D.A., Patrizi, S., Voskanyan, V., On the existence of classical solutions for stationary extended mean field games. Nonlinear Anal. 99 (2014), 49–79.
    • (2014) Nonlinear Anal. , vol.99 , pp. 49-79
    • Gomes, D.A.1    Patrizi, S.2    Voskanyan, V.3
  • 8
    • 84892898012 scopus 로고    scopus 로고
    • Time-dependent mean-field games in the superquadratic case
    • arXiv:1311.6684v3
    • Gomes, D.A., Pimental, E., Sánchez-Morgado, H., Time-dependent mean-field games in the superquadratic case. arXiv:1311.6684v3, 2014.
    • (2014)
    • Gomes, D.A.1    Pimental, E.2    Sánchez-Morgado, H.3
  • 9
    • 84947474862 scopus 로고    scopus 로고
    • Time-dependent mean-field games with logarithmic nonlinearities
    • Gomes, D.A., Pimentel, E., Time-dependent mean-field games with logarithmic nonlinearities. SIAM J. Math. Anal. 47:5 (2015), 3798–3812.
    • (2015) SIAM J. Math. Anal. , vol.47 , Issue.5 , pp. 3798-3812
    • Gomes, D.A.1    Pimentel, E.2
  • 11
    • 84899464039 scopus 로고    scopus 로고
    • Mean field games models—a brief survey
    • Gomes, D.A., Saúde, J., Mean field games models—a brief survey. Dyn. Games Appl. 4:2 (2014), 110–154.
    • (2014) Dyn. Games Appl. , vol.4 , Issue.2 , pp. 110-154
    • Gomes, D.A.1    Saúde, J.2
  • 12
    • 84864332611 scopus 로고    scopus 로고
    • Mean field games equations with quadratic Hamiltonian: a specific approach
    • Guéant, O., Mean field games equations with quadratic Hamiltonian: a specific approach. Math. Models Methods Appl. Sci., 22(9), 2012, 1250022.
    • (2012) Math. Models Methods Appl. Sci. , vol.22 , Issue.9
    • Guéant, O.1
  • 14
    • 30544447638 scopus 로고    scopus 로고
    • Applied Analysis
    • World Scientific Publishing Co., Inc. River Edge, NJ
    • Hunter, J.K., Nachtergaele, B., Applied Analysis. 2001, World Scientific Publishing Co., Inc., River Edge, NJ.
    • (2001)
    • Hunter, J.K.1    Nachtergaele, B.2
  • 15
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen I: Le cas stationnaire
    • Lasry, J.-M., Lions, P.-L., Jeux à champ moyen I: Le cas stationnaire. C. R. Acad. Sci. Paris 343 (2006), 619–625.
    • (2006) C. R. Acad. Sci. Paris , vol.343 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 16
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen II: Horizin fini et contrôle optimal
    • Lasry, J.-M., Lions, P.-L., Jeux à champ moyen II: Horizin fini et contrôle optimal. C. R. Acad. Sci. Paris 343 (2006), 679–684.
    • (2006) C. R. Acad. Sci. Paris , vol.343 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2
  • 17
    • 34047127341 scopus 로고    scopus 로고
    • Mean field games
    • Lasry, J.-M., Lions, P.-L., Mean field games. Jpn. J. Math. 2:1 (2007), 229–260.
    • (2007) Jpn. J. Math. , vol.2 , Issue.1 , pp. 229-260
    • Lasry, J.-M.1    Lions, P.-L.2
  • 18
    • 84874631547 scopus 로고    scopus 로고
    • Temporal boundary value problems in interfacial fluid dynamics
    • Milgrom, T., Ambrose, D.M., Temporal boundary value problems in interfacial fluid dynamics. Appl. Anal. 92:5 (2013), 922–948.
    • (2013) Appl. Anal. , vol.92 , Issue.5 , pp. 922-948
    • Milgrom, T.1    Ambrose, D.M.2
  • 19
    • 85045285472 scopus 로고    scopus 로고
    • Mean field games in economics
    • Accessed on April 4, 2016
    • Moll, B., Mean field games in economics. http://www.princeton.edu/~moll/EconMFG.pdf, 2012 Accessed on April 4, 2016.
    • (2012)
    • Moll, B.1
  • 20
    • 84881613408 scopus 로고    scopus 로고
    • On the planning problem for a class of mean field games
    • Porretta, A., On the planning problem for a class of mean field games. C. R. Math. Acad. Sci. Paris 351:11–12 (2013), 457–462.
    • (2013) C. R. Math. Acad. Sci. Paris , vol.351 , Issue.11-12 , pp. 457-462
    • Porretta, A.1
  • 21
    • 84899459829 scopus 로고    scopus 로고
    • On the planning problem for the mean field games system
    • Porretta, A., On the planning problem for the mean field games system. Dyn. Games Appl. 4:2 (2014), 231–256.
    • (2014) Dyn. Games Appl. , vol.4 , Issue.2 , pp. 231-256
    • Porretta, A.1
  • 22
    • 84925014244 scopus 로고    scopus 로고
    • Weak solutions to Fokker–Planck equations and mean field games
    • Porretta, A., Weak solutions to Fokker–Planck equations and mean field games. Arch. Ration. Mech. Anal. 216 (2015), 1–62.
    • (2015) Arch. Ration. Mech. Anal. , vol.216 , pp. 1-62
    • Porretta, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.