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Volumn 51, Issue 1, 2005, Pages 1-33

Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations

Author keywords

Backward stochastic differential equations; Hamilton Jacobi Bellman equations; Homogenization; Stochastic ergodic control; Stochastic optimal control; Viscosity solutions

Indexed keywords

NONLINEAR EQUATIONS; OPTIMAL CONTROL SYSTEMS; PROBABILITY; RANDOM PROCESSES; STOCHASTIC CONTROL SYSTEMS; THEOREM PROVING; VISCOSITY;

EID: 11244262559     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00245-004-0805-3     Document Type: Article
Times cited : (22)

References (16)
  • 1
    • 0036338482 scopus 로고    scopus 로고
    • Viscosity solutions methods for singular perturbations in deterministic and stochastic control
    • Alvarez O, Bardi M (2001) Viscosity solutions methods for singular perturbations in deterministic and stochastic control. SIAM J Control Optim 40(4):1159-1188
    • (2001) SIAM J Control Optim , vol.40 , Issue.4 , pp. 1159-1188
    • Alvarez, O.1    Bardi, M.2
  • 2
    • 0242370970 scopus 로고    scopus 로고
    • Singular perturbations of nonlinear degenerate parabolic PDEs: A general convergence result
    • Alvarez O, Bardi M (2003) Singular perturbations of nonlinear degenerate parabolic PDEs: a general convergence result. Arch Ration Mech Anal 170(1): 17-61
    • (2003) Arch Ration Mech Anal , vol.170 , Issue.1 , pp. 17-61
    • Alvarez, O.1    Bardi, M.2
  • 4
    • 84990613896 scopus 로고
    • Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth
    • Bensoussan A, Boccardo L, Murat F (1986) Homogenization of elliptic equations with principal part not in divergence form and Hamiltonian with quadratic growth. Comm Pure Appl Math 39:769-805
    • (1986) Comm Pure Appl Math , vol.39 , pp. 769-805
    • Bensoussan, A.1    Boccardo, L.2    Murat, F.3
  • 6
    • 0032061556 scopus 로고    scopus 로고
    • Probabilistic approach to homogenization of quasilinear parabolic PDEs with periodic structure
    • Buckdahn R, Hu Y (1998) Probabilistic approach to homogenization of quasilinear parabolic PDEs with periodic structure. Nonlinear Anal TMA 32:609-619
    • (1998) Nonlinear Anal TMA , vol.32 , pp. 609-619
    • Buckdahn, R.1    Hu, Y.2
  • 7
    • 0041128049 scopus 로고    scopus 로고
    • Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs
    • Buckdahn R, Hu Y, Peng S, (1999) Probabilistic approach to homogenization of viscosity solutions of parabolic PDEs. Nonlinear Differential Equations Appl 6:395-411
    • (1999) Nonlinear Differential Equations Appl , vol.6 , pp. 395-411
    • Buckdahn, R.1    Hu, Y.2    Peng, S.3
  • 8
    • 11244347356 scopus 로고    scopus 로고
    • A general result of existence and uniqueness of backward stochastic differential equations
    • Pitman, Boston, MA
    • El Karoui N, Huang SJ (1997) A General Result of Existence and Uniqueness of Backward Stochastic Differential Equations. Research Notes in Mathematics vol 364, pp 27-36. Pitman, Boston, MA
    • (1997) Research Notes in Mathematics , vol.364 , pp. 27-36
    • El Karoui, N.1    Huang, S.J.2
  • 9
    • 84971110219 scopus 로고
    • The perturbed test function method for viscosity solutions of nonlinear PDEs
    • Evans LC (1989) The perturbed test function method for viscosity solutions of nonlinear PDEs. Proc Roy Soc Edinburgh Sect A 111:359-375
    • (1989) Proc Roy Soc Edinburgh Sect A , vol.111 , pp. 359-375
    • Evans, L.C.1
  • 10
    • 84974059058 scopus 로고
    • Periodic homogenization of certain fully nonlinear partial differential equations
    • Evans LC (1992) Periodic homogenization of certain fully nonlinear partial differential equations. Proc Roy Soc Edinburgh Sect A 120:245-265
    • (1992) Proc Roy Soc Edinburgh Sect A , vol.120 , pp. 245-265
    • Evans, L.C.1
  • 11
    • 0346311466 scopus 로고    scopus 로고
    • EDSR, convergence en loi et homogénéisation d'EDP paraboliques semilinéaires
    • Gaudron G, Pardoux E (2001) EDSR, convergence en loi et homogénéisation d'EDP paraboliques semilinéaires. Ann Inst H Poincaré Probab Statist 37(1): 1-42
    • (2001) Ann Inst H Poincaré Probab Statist , vol.37 , Issue.1 , pp. 1-42
    • Gaudron, G.1    Pardoux, E.2
  • 15
    • 0001573698 scopus 로고    scopus 로고
    • Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients
    • Pardoux E (1999) Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients. J Funct Anal 167:498-520
    • (1999) J Funct Anal , vol.167 , pp. 498-520
    • Pardoux, E.1
  • 16
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations
    • Springer-Verlag, Berlin
    • Pardoux E, Peng S (1992) Backward Stochastic Differential Equations and Quasilinear Parabolic Partial Differential Equations. Lecture Notes in Control and Information Science vol 176. pp 200-217. Springer-Verlag, Berlin
    • (1992) Lecture Notes in Control and Information Science , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.