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Volumn 122, Issue 4, 2012, Pages 1248-1275

Large time asymptotic problems for optimal stochastic control with superlinear cost

Author keywords

Ergodic control; Hamilton Jacobi Bellman equation; Large time behavior; Stochastic control

Indexed keywords

CONTROL VARIABLE; ERGODIC CONTROL; ERGODICS; FINITE TIME HORIZON; HAMILTON JACOBI BELLMAN EQUATION; LARGE TIME BEHAVIOR; MATHEMATICAL FINANCE; NON-LINEARITY; OPTIMAL STOCHASTIC CONTROL; SEMILINEAR PARABOLIC EQUATION; STOCHASTIC CONTROL; SUPERLINEAR; SUPERLINEAR GROWTH; TIME ASYMPTOTIC; TIME HORIZONS; UTILITY MAXIMIZATIONS; VALUE FUNCTIONS; VARIABLE SEPARATION;

EID: 84857980321     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2011.12.005     Document Type: Article
Times cited : (39)

References (22)
  • 1
    • 77957785772 scopus 로고    scopus 로고
    • On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations
    • G. Barles, A. Porretta, and T. Tchamba On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton-Jacobi equations J. Math. Pures Appl. 94 2010 497 519
    • (2010) J. Math. Pures Appl. , vol.94 , pp. 497-519
    • Barles, G.1    Porretta, A.2    Tchamba, T.3
  • 2
    • 0035541168 scopus 로고    scopus 로고
    • Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations
    • G. Barles, and P.E. Souganidis Space-time periodic solutions and long-time behavior of solutions to quasi-linear parabolic equations SIAM J. Math. Anal. 32 2001 1311 1323
    • (2001) SIAM J. Math. Anal. , vol.32 , pp. 1311-1323
    • Barles, G.1    Souganidis, P.E.2
  • 5
    • 84968501397 scopus 로고
    • Asymptotic properties of Markoff transition probabilities
    • J.L. Doob Asymptotic properties of Markoff transition probabilities Trans. Amer. Math. Soc. 63 1948 393 421
    • (1948) Trans. Amer. Math. Soc. , vol.63 , pp. 393-421
    • Doob, J.L.1
  • 6
    • 0001234347 scopus 로고
    • Risk-sensitive control on an infinite time horizon
    • W.H. Fleming, and W.M. McEneaney Risk-sensitive control on an infinite time horizon SIAM J. Control Optim. 33 1995 1881 1915
    • (1995) SIAM J. Control Optim. , vol.33 , pp. 1881-1915
    • Fleming, W.H.1    McEneaney, W.M.2
  • 8
    • 0033249380 scopus 로고    scopus 로고
    • Optimal long term growth rate of expected utility of wealth
    • W.H. Fleming, and S.J. Sheu Optimal long term growth rate of expected utility of wealth Ann. Appl. Probab. 9 1999 871 903
    • (1999) Ann. Appl. Probab. , vol.9 , pp. 871-903
    • Fleming, W.H.1    Sheu, S.J.2
  • 9
    • 0003294328 scopus 로고
    • Controlled Markov processes and viscosity solutions
    • Springer-Verlag New York
    • W.H. Fleming, and M. Soner Controlled Markov Processes and Viscosity Solutions Applications of Mathematics vol. 25 1993 Springer-Verlag New York
    • (1993) Applications of Mathematics , vol.25
    • Fleming, W.H.1    Soner, M.2
  • 10
    • 33845535277 scopus 로고    scopus 로고
    • Asymptotic solutions of Hamilton-Jacobi equations in euclidean n space
    • Y. Fujita, H. Ishii, and P. Loreti Asymptotic solutions of Hamilton-Jacobi equations in euclidean n space Indiana Univ. Math. J. 55 2006 1671 1700
    • (2006) Indiana Univ. Math. J. , vol.55 , pp. 1671-1700
    • Fujita, Y.1    Ishii, H.2    Loreti, P.3
  • 11
    • 34547507347 scopus 로고    scopus 로고
    • Indifference pricing and hedging for volatility derivatives
    • M.R. Grasselli, and T.R. Hurd Indifference pricing and hedging for volatility derivatives Appl. Math. Finance 14 2007 303 317
    • (2007) Appl. Math. Finance , vol.14 , pp. 303-317
    • Grasselli, M.R.1    Hurd, T.R.2
  • 12
    • 76449112991 scopus 로고    scopus 로고
    • Asymptotics of the probability minimizing a "down side" risk
    • H. Hata, H. Nagai, and S.J. Sheu Asymptotics of the probability minimizing a "down side" risk Ann. Appl. Probab. 20 2010 52 89
    • (2010) Ann. Appl. Probab. , vol.20 , pp. 52-89
    • Hata, H.1    Nagai, H.2    Sheu, S.J.3
  • 13
    • 80755163132 scopus 로고    scopus 로고
    • Recurrence and transience of optimal feedback processes associated with Bellman equations of ergodic type
    • N. Ichihara Recurrence and transience of optimal feedback processes associated with Bellman equations of ergodic type SIAM J. Control Optim. 49 2011 1938 1960
    • (2011) SIAM J. Control Optim. , vol.49 , pp. 1938-1960
    • Ichihara, N.1
  • 18
    • 84863939018 scopus 로고    scopus 로고
    • Down side risk minimization via a large deviations approach
    • in press
    • H. Nagai, Down side risk minimization via a large deviations approach, Ann. Appl. Probab. (in press).
    • Ann. Appl. Probab.
    • Nagai, H.1
  • 19
    • 0348220625 scopus 로고    scopus 로고
    • Optimal strategies for risk-sensitive portfolio optimization problems for general factor models
    • H. Nagai Optimal strategies for risk-sensitive portfolio optimization problems for general factor models SIAM J. Control Optim. 41 2003 1779 1800
    • (2003) SIAM J. Control Optim. , vol.41 , pp. 1779-1800
    • Nagai, H.1
  • 21
    • 33847748543 scopus 로고    scopus 로고
    • Global solutions of inhomogeneous Hamilton-Jacobi equations
    • P. Souplet, and Q. Zhang Global solutions of inhomogeneous Hamilton-Jacobi equations J. Anal. Math. 99 2006 355 396
    • (2006) J. Anal. Math. , vol.99 , pp. 355-396
    • Souplet, P.1    Zhang, Q.2
  • 22
    • 77950256730 scopus 로고    scopus 로고
    • Large time behavior of solutions of viscous Hamilton-Jacobi equations with superquadratic Hamiltonian
    • T. Tchamba Large time behavior of solutions of viscous Hamilton-Jacobi equations with superquadratic Hamiltonian Asymptot. Anal. 66 2010 161 186
    • (2010) Asymptot. Anal. , vol.66 , pp. 161-186
    • Tchamba, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.