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Volumn 43, Issue 6, 2005, Pages 2009-2019

A corrected proof of the stochastic verification theorem within the framework of viscosity solutions

Author keywords

HJB equation; Lebesgue point; Stochastic optimal control; Superdifferential; Verification theorem; Viscosity solution

Indexed keywords

HJB EQUATION; LEBESGUE POINT; STOCHASTIC OPTIMAL CONTROL; SUPERDIFFERENTIAL; VERIFICATION THEOREM; VISCOSITY SOLUTION;

EID: 27644500762     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012903428184     Document Type: Article
Times cited : (35)

References (10)
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    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 3
    • 0004179052 scopus 로고
    • Springer-Verlag, New York
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    • (1994) Measure Theory
    • Doob, H.1
  • 5
    • 0003294328 scopus 로고
    • Controlled Markov processes and viscosity solutions
    • Springer-Verlag, New York
    • W. H. FLEMING AND H. M. SONER, Controlled Markov Processes and Viscosity Solutions, Appl. Math. 25, Springer-Verlag, New York, 1993.
    • (1993) Appl. Math. , vol.25
    • Fleming, W.H.1    Soner, H.M.2
  • 6
    • 84879105127 scopus 로고    scopus 로고
    • Brownian motion and stochastic calculus, 2nd ed
    • Springer-Verlag, New York
    • I. KARATZAS AND S. E. SHREVE, Brownian Motion and Stochastic Calculus, 2nd ed., Grad. Texts in Math. 113, Springer-Verlag, New York, 1999.
    • (1999) Grad. Texts in Math. , vol.113
    • Karatzas, I.1    Shreve, S.E.2
  • 9
    • 38248999039 scopus 로고
    • Verification theorems within the framework of viscosity solutions
    • X. Y. ZHOU, Verification theorems within the framework of viscosity solutions, J. Math. Anal. Appl., 177 (1993), pp. 208-225.
    • (1993) J. Math. Anal. Appl. , vol.177 , pp. 208-225
    • Zhou, X.Y.1
  • 10
    • 0030869799 scopus 로고    scopus 로고
    • Stochastic verification theorems within the framework of viscosity solutions
    • X. Y. ZHOU, J. YONG, AND X. Li, Stochastic verification theorems within the framework of viscosity solutions, SIAM J. Control Optim., 37 (1997), pp. 243-253.
    • (1997) SIAM J. Control Optim. , vol.37 , pp. 243-253
    • Zhou, X.Y.1    Yong, J.2    Li, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.