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Volumn 10, Issue 1, 2020, Pages 100-119

Short-Time Existence for a General Backward–Forward Parabolic System Arising from Mean-Field Games

Author keywords

Backward forward system; Congestion problems; Fokker Planck; Hamilton Jacobi; Mean field games; Parabolic equations

Indexed keywords


EID: 85064331886     PISSN: 21530785     EISSN: 21530793     Source Type: Journal    
DOI: 10.1007/s13235-019-00311-5     Document Type: Article
Times cited : (29)

References (24)
  • 2
    • 85044051351 scopus 로고    scopus 로고
    • Strong solutions for time-dependent mean field games with non-separable Hamiltonians
    • Ambrose DM (2018) Strong solutions for time-dependent mean field games with non-separable Hamiltonians. J Math Pures Appl 9(113):141–154
    • (2018) J Math Pures Appl , vol.9 , Issue.113 , pp. 141-154
    • Ambrose, D.M.1
  • 4
    • 85059082568 scopus 로고    scopus 로고
    • Uniqueness of solutions in MFG with several populations and Neumann conditions
    • Cardaliaguet P, Porretta A, Salvarani F (eds), Springer INdAM series
    • Bardi M, Cirant M (2019) Uniqueness of solutions in MFG with several populations and Neumann conditions. In: Cardaliaguet P, Porretta A, Salvarani F (eds) PDE models for multi-agent phenomena. Springer INdAM series, pp 1–20
    • (2019) PDE Models for Multi-Agent Phenomena , pp. 1-20
    • Bardi, M.1    Cirant, M.2
  • 5
    • 85084110006 scopus 로고    scopus 로고
    • On non-uniqueness and uniqueness of solutions in finite-horizon mean field games
    • Bardi M, Fischer M (2018) On non-uniqueness and uniqueness of solutions in finite-horizon mean field games. ESAIM Control Optim Calc Var. 10.1051/cocv/2018026
    • (2018) ESAIM Control Optim Calc Var
    • Bardi, M.1    Fischer, M.2
  • 6
    • 85068762191 scopus 로고    scopus 로고
    • Accessed 10 Apr 2019
    • Cardaliaguet P (2013) Notes on mean field games. https://www.ceremade.dauphine.fr/~cardaliaguet/MFG20130420.pdf. Accessed 10 Apr 2019
    • (2013) Notes on Mean Field Games
    • Cardaliaguet, P.1
  • 7
    • 85059315932 scopus 로고    scopus 로고
    • On the existence of oscillating solutions in non-monotone mean-field games
    • Cirant M (2019) On the existence of oscillating solutions in non-monotone mean-field games. J Differ Equ. 10.1016/j.jde.2018.12.025
    • (2019) J Differ Equ
    • Cirant, M.1
  • 8
    • 85064014763 scopus 로고    scopus 로고
    • Time-dependent focusingmean-field games: the sub-critical case
    • Cirant M, Tonon D (2018) Time-dependent focusingmean-field games: the sub-critical case. J Dyn Differ Equ 31(1):49–79
    • (2018) J Dyn Differ Equ , vol.31 , Issue.1 , pp. 49-79
    • Cirant, M.1    Tonon, D.2
  • 9
    • 85029052412 scopus 로고    scopus 로고
    • On the existence of solutions for stationary mean-field games with congestion
    • Evangelista D, Gomes D (2018) On the existence of solutions for stationary mean-field games with congestion. J Dyn Differ Equ. 30(4):1365–1388
    • (2018) J Dyn Differ Equ. , vol.30 , Issue.4 , pp. 1365-1388
    • Evangelista, D.1    Gomes, D.2
  • 10
    • 0002593463 scopus 로고
    • Global existence of a classical solution for a large class of free boundary problems
    • Gianni R (1995) Global existence of a classical solution for a large class of free boundary problems. NoDEA Nonlinear Differ Equ Appl 2(3):291–321
    • (1995) NoDEA Nonlinear Differ Equ Appl , vol.2 , Issue.3 , pp. 291-321
    • Gianni, R.1
  • 11
    • 84950311543 scopus 로고    scopus 로고
    • Short-time existence of solutions for mean filed games with congestion
    • Gomes DA, Voskanyan VK (2015) Short-time existence of solutions for mean filed games with congestion. J Lond Math Soc 92(3):778–799
    • (2015) J Lond Math Soc , vol.92 , Issue.3 , pp. 778-799
    • Gomes, D.A.1    Voskanyan, V.K.2
  • 12
    • 85010789894 scopus 로고    scopus 로고
    • Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion
    • Gomes D, Nurbekyan L, Prazeres M (2016) Explicit solutions of one-dimensional, first-order, stationary mean-field games with congestion. In: 2016 IEEE 55th conference on decision and control, CDC 2016, pp 4534–4539
    • (2016) 2016 IEEE 55Th Conference on Decision and Control, CDC , vol.2016 , pp. 4534-4539
    • Gomes, D.1    Nurbekyan, L.2    Prazeres, M.3
  • 13
    • 84945453305 scopus 로고    scopus 로고
    • Existence for stationary mean-field games with congestion and quadratic Hamiltonians
    • Gomes D, Mitake H (2015) Existence for stationary mean-field games with congestion and quadratic Hamiltonians. NoDEA Nonlinear Differ Equ Appl 22(6):1897–1910
    • (2015) NoDEA Nonlinear Differ Equ Appl , vol.22 , Issue.6 , pp. 1897-1910
    • Gomes, D.1    Mitake, H.2
  • 18
    • 84975156985 scopus 로고    scopus 로고
    • Existence and uniqueness of solutions for Bertrand and Cournot mean field games
    • Graber PJ, Bensoussan A (2018) Existence and uniqueness of solutions for Bertrand and Cournot mean field games. Appl Math Optim 77(1):47–71
    • (2018) Appl Math Optim , vol.77 , Issue.1 , pp. 47-71
    • Graber, P.J.1    Bensoussan, A.2
  • 19
    • 39549087376 scopus 로고    scopus 로고
    • Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle
    • Huang M, Malhamé RP, Caines PE (2006) Large population stochastic dynamic games: closed-loop McKean–Vlasov systems and the Nash certainty equivalence principle. Commun Inf Syst 6:221–251
    • (2006) Commun Inf Syst , vol.6 , pp. 221-251
    • Huang, M.1    Malhamé, R.P.2    Caines, P.E.3
  • 22
    • 33750627999 scopus 로고    scopus 로고
    • Jeux à champ moyen. I. Le cas stationnaire
    • Lasry J-M, Lions P-L (2006) Jeux à champ moyen. I. Le cas stationnaire. C R Math Acad Sci Paris 343:619–625
    • (2006) C R Math Acad Sci Paris , vol.343 , pp. 619-625
    • Lasry, J.-M.1    Lions, P.-L.2
  • 23
    • 33751077273 scopus 로고    scopus 로고
    • Jeux à champ moyen. II. Horizon fini et contrôle optimal
    • Lasry J-M, Lions P-L (2006) Jeux à champ moyen. II. Horizon fini et contrôle optimal. C R Math Acad Sci Paris 343:679–684
    • (2006) C R Math Acad Sci Paris , vol.343 , pp. 679-684
    • Lasry, J.-M.1    Lions, P.-L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.