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Volumn 29, Issue 4, 1997, Pages 415-426

Infinite-dimensional Hamilton-Jacobi-Bellman equations in Gauss-Sobolev spaces

Author keywords

Coercivity; Dynamic programming; Gaussian and invariant measures; Monotone operator

Indexed keywords

BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; DYNAMIC PROGRAMMING; MATHEMATICAL OPERATORS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; STOCHASTIC CONTROL SYSTEMS;

EID: 0031208956     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00043-0     Document Type: Article
Times cited : (13)

References (11)
  • 1
    • 21344458022 scopus 로고    scopus 로고
    • Infinite-dimensional Kolmogorov equations in Gauss-Sobolev spaces
    • CHOW P. L., Infinite-dimensional Kolmogorov equations in Gauss-Sobolev spaces, J. Stoch. Anal. Appl. 14, 257-282 (1996).
    • (1996) J. Stoch. Anal. Appl. , vol.14 , pp. 257-282
    • Chow, P.L.1
  • 2
    • 0021835459 scopus 로고
    • Some results of Bellman equation in Hubert spaces
    • DA PRATO G., Some results of Bellman equation in Hubert spaces, SIAM J. Control Optim. 23, 61-71 (1985).
    • (1985) SIAM J. Control Optim. , vol.23 , pp. 61-71
    • Da Prato, G.1
  • 3
    • 0026118706 scopus 로고
    • Second order Hamilton-Jacobi equations in infinite dimensions
    • CANNARSA P. & DA PRATO G., Second order Hamilton-Jacobi equations in infinite dimensions, SIAM J. Control Optim. 29, 474-492 (1991).
    • (1991) SIAM J. Control Optim. , vol.29 , pp. 474-492
    • Cannarsa, P.1    Da Prato, G.2
  • 4
    • 0002248062 scopus 로고
    • Direct solutions of second order Hamilton-Jacobi equation in Hubert spaces
    • Edited by G. DA PRATO and L. TUBARO. Pitman Research Notes in Math., Longman, New York
    • CANNARSA P. & DA PRATO G., Direct solutions of second order Hamilton-Jacobi equation in Hubert spaces. In Stochastic Partial Differential Equations and Applications (Edited by G. DA PRATO and L. TUBARO). Pitman Research Notes in Math., Vol 268, pp. 72-85. Longman, New York (1992).
    • (1992) Stochastic Partial Differential Equations and Applications , vol.268 , pp. 72-85
    • Cannarsa, P.1    Da Prato, G.2
  • 6
    • 0001152144 scopus 로고
    • Existence for the dynamic programming equation of control diffusion process in Hilbert space
    • HAVAREAU T., Existence for the dynamic programming equation of control diffusion process in Hilbert space, Nonlinear Analysis 9, 619-628 (1985).
    • (1985) Nonlinear Analysis , vol.9 , pp. 619-628
    • Havareau, T.1
  • 7
    • 0002043438 scopus 로고
    • Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions - Part III. Uniqueness of viscosity solutions for general second-order equations
    • LIONS P. L., Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions - Part III. Uniqueness of viscosity solutions for general second-order equations, J. funct. Analysis 86, 1-18 (1989).
    • (1989) J. Funct. Analysis , vol.86 , pp. 1-18
    • Lions, P.L.1
  • 9
    • 85033113035 scopus 로고    scopus 로고
    • Stationary solutions of nonlinear stochastic evolution equations
    • To appear
    • CHOW P. L. & KHASMINSKII R. Z., Stationary solutions of nonlinear stochastic evolution equations, J. Stoch. Anal. Appl. (To appear.)
    • J. Stoch. Anal. Appl.
    • Chow, P.L.1    Khasminskii, R.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.