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Volumn 30, Issue 3, 2002, Pages 1397-1465

Nonlinear kolmogorov equations in infinite dimensional spaces: The backward stochastic differential equations approach and applications to optimal control

Author keywords

Backward stochastic differential equations; Hamilton Jacobi Bellman equation; Partial differential equations in infinite dimensional spaces; Stochastic optimal control

Indexed keywords


EID: 0036630776     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1029867132     Document Type: Article
Times cited : (162)

References (42)
  • 13
    • 3042965699 scopus 로고    scopus 로고
    • Smoothing properties of transition semigroups in Hilbert spaces
    • (1996) NoDEA , vol.3 , pp. 445-464
    • Fuhrman, M.1
  • 17
    • 0030094496 scopus 로고    scopus 로고
    • Global regular solutions of second order Hamilton-Jacobi equations in Hilbert spaces with locally Lipschitz nonlinearities
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 399-443
    • Gozzi, F.1
  • 20
    • 0003031259 scopus 로고
    • Intégrales hilbertiennes anticipantes par rapport à un processus de Wiener cylindrique et calcul stochastique associé
    • (1992) Appl. Math. Optim. , vol.25 , pp. 31-49
    • Grorud, A.1    Pardoux, E.2
  • 25
    • 34250087346 scopus 로고
    • Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I. The case of bounded stochastic evolutions
    • (1988) Acta Math. , vol.161 , pp. 243-278
    • Lions, P.L.1
  • 27
    • 0002043438 scopus 로고
    • Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. III. Uniqueness of viscosity solutions for general second-order equations
    • (1989) J. Funct. Anal. , vol.86 , pp. 1-18
    • Lions, P.L.1
  • 36
    • 0000268709 scopus 로고
    • Backward stochastic differential equations and quasilinear parabolic partial differential equations
    • Stochastic Partial Differential Equations and Their Applications. Springer, Berlin
    • (1992) Lecture Notes in Control Inf. Sci. , vol.176 , pp. 200-217
    • Pardoux, E.1    Peng, S.2
  • 37
    • 0002833256 scopus 로고    scopus 로고
    • p-analysis of finite and infinite dimensional diffusion operators
    • Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions. Springer, Berlin
    • (1999) Lecture Notes in Math. , vol.1715 , pp. 65-116
    • Röckner, M.1
  • 41
    • 0005353894 scopus 로고    scopus 로고
    • Parabolic equations on Hilbert spaces
    • Stochastic PDE's and Kolmogorov Equations in Infinite Dimensions. Springer, Berlin
    • (1999) Lecture Notes in Math. , vol.1715 , pp. 117-213
    • Zabczyk, J.1
  • 42
    • 0005334940 scopus 로고    scopus 로고
    • Stochastic invariance and consistency of financial models
    • Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei
    • (2000) Mat. Appl. , vol.11 , Issue.9 , pp. 67-80
    • Zabczyk, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.