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Volumn 43, Issue 2, 2005, Pages 570-589

Quasi-variational inequalities with dirichlet boundary condition related to exit time problems for impulse control

(1)  Amadori, A L a  

a CNR   (Italy)

Author keywords

Boundary condition; Impulse stochastic control; Quasi variational inequality

Indexed keywords

BOUNDARY CONDITIONS; BROWNIAN MOVEMENT; CONTROL THEORY; DYNAMIC PROGRAMMING; FUNCTIONS; INFORMATION ANALYSIS; ITERATIVE METHODS; MATRIX ALGEBRA;

EID: 16244383522     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012902409738     Document Type: Article
Times cited : (4)

References (20)
  • 1
    • 0022061640 scopus 로고
    • Deterministic impulse control problems
    • G. BARLES, Deterministic impulse control problems, SIAM J. Control Optim., 23 (1985), pp. 419-432.
    • (1985) SIAM J. Control Optim. , vol.23 , pp. 419-432
    • Barles, G.1
  • 2
    • 0022014062 scopus 로고
    • Quasivariational inequalities and first-order Hamilton-Jacobi equations
    • G. BARLES, Quasivariational inequalities and first-order Hamilton-Jacobi equations, Nonlinear Anal., 9 (1985), pp. 131-148.
    • (1985) Nonlinear Anal. , vol.9 , pp. 131-148
    • Barles, G.1
  • 3
    • 84963420752 scopus 로고
    • The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems
    • G. BARLES AND J. BURDEAU, The Dirichlet problem for semilinear second-order degenerate elliptic equations and applications to stochastic exit time control problems, Comm. Partial Differential Equations, 20 (1995), pp. 129-178.
    • (1995) Comm. Partial Differential Equations , vol.20 , pp. 129-178
    • Barles, G.1    Burdeau, J.2
  • 4
    • 0024070155 scopus 로고
    • Exit time problems in optimal control and vanishing viscosity method
    • G. BARLES AND B. PERTHAME, Exit time problems in optimal control and vanishing viscosity method, SIAM J. Control Optim., 26 (1988), pp. 1133-1148.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1133-1148
    • Barles, G.1    Perthame, B.2
  • 5
    • 0001700806 scopus 로고    scopus 로고
    • A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications
    • G. BARLES AND E. ROUY, A strong comparison result for the Bellman equation arising in stochastic exit time control problems and its applications, Comm. Partial Differential Equations, 23 (1998), pp. 1995-2033.
    • (1998) Comm. Partial Differential Equations , vol.23 , pp. 1995-2033
    • Barles, G.1    Rouy, E.2
  • 7
    • 0031094377 scopus 로고    scopus 로고
    • Deterministic exit time control problems with discontinuous exit costs
    • A.-P. BLANC, Deterministic exit time control problems with discontinuous exit costs, SIAM J. Control Optim., 35 (1997), pp. 399-434.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 399-434
    • Blanc, A.-P.1
  • 8
    • 0003325079 scopus 로고
    • Optimal control of diffusion processes
    • John Wiley & Sons, New York
    • V. S. BORKAR, Optimal Control of Diffusion Processes, Pitman Res. Notes Math. Series 203, John Wiley & Sons, New York, 1989.
    • (1989) Pitman Res. Notes Math. Series , vol.203
    • Borkar, V.S.1
  • 9
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • M. G. CRANDALL, H. ISHII, AND P.-L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.), 27 (1992), pp. 1-67.
    • (1992) Bull. Amer. Math. Soc. (N.S.) , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 10
    • 0003294328 scopus 로고
    • Controlled markov processes and viscosity solutions
    • Springer-Verlag, New York
    • W. H. FLEMING AND H. 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.2
  • 11
    • 0039813448 scopus 로고
    • Convergence uniforme des itérés définissant la solution d'une inéquation quasi variationnelle abstraite
    • B. HANOUZET AND J.-L. JOLY, Convergence uniforme des itérés définissant la solution d'une inéquation quasi variationnelle abstraite, C. R. Acad. Sci. Paris Sér. A, 286 (1978), pp. 735-738.
    • (1978) C. R. Acad. Sci. Paris Sér. A , vol.286 , pp. 735-738
    • Hanouzet, B.1    Joly, J.-L.2
  • 12
    • 0003142105 scopus 로고
    • Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets
    • H. ISHII, Hamilton-Jacobi equations with discontinuous Hamiltonians on arbitrary open sets, Bull. Fac. Sci. Eng. Chuo Univ., 28 (1985), pp. 33-77.
    • (1985) Bull. Fac. Sci. Eng. Chuo Univ. , vol.28 , pp. 33-77
    • Ishii, H.1
  • 13
    • 0012219156 scopus 로고
    • Viscosity solutions of nonlinear second order elliptic PDEs associated with impulse control problems
    • K. ISHII, Viscosity solutions of nonlinear second order elliptic PDEs associated with impulse control problems, Funkcial. Ekvac., 36 (1993), pp. 123-141.
    • (1993) Funkcial. Ekvac. , vol.36 , pp. 123-141
    • Ishii, K.1
  • 14
    • 0040024176 scopus 로고
    • Viscosity solutions of nonlinear second order elliptic PDEs associated with impulse control problems. II
    • K. ISHII, Viscosity solutions of nonlinear second order elliptic PDEs associated with impulse control problems. II, Funkcial. Ekvac., 38 (1995), pp. 297-328.
    • (1995) Funkcial. Ekvac. , vol.38 , pp. 297-328
    • Ishii, K.1
  • 15
    • 0000795020 scopus 로고
    • Viscosity solutions of second order fully nonlinear elliptic equations with state constraints
    • M. A. KATSOULAKIS, Viscosity solutions of second order fully nonlinear elliptic equations with state constraints, Indiana Univ. Math. J., 43 (1994), pp. 493-519.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 493-519
    • Katsoulakis, M.A.1
  • 16
    • 84953017099 scopus 로고
    • Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness
    • P.-L. LIONS, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations. II: Viscosity solutions and uniqueness, Comm. Partial Differential Equations, 8 (1983), pp. 1229-1276.
    • (1983) Comm. Partial Differential Equations , vol.8 , pp. 1229-1276
    • Lions, P.-L.1
  • 17
    • 0036929730 scopus 로고    scopus 로고
    • Optimal consumption and portfolio with both fixed and proportional transaction costs: A combined stochastic control and impulse control model
    • B. ØKSENDAL AND A. SULEM, Optimal consumption and portfolio with both fixed and proportional transaction costs: A combined stochastic control and impulse control model, SIAM J. Control Optim., 40 (2002), pp. 1765-1790.
    • (2002) SIAM J. Control Optim. , vol.40 , pp. 1765-1790
    • Øksendal, B.1    Sulem, A.2
  • 18
    • 0038973526 scopus 로고
    • Quasivariational inequalities and Hamilton-Jacobi-Bellman equations in a bounded region
    • B. PERTHAME, Quasivariational inequalities and Hamilton-Jacobi-Bellman equations in a bounded region, Comm. Partial Differential Equations, 9 (1984), pp. 561-595.
    • (1984) Comm. Partial Differential Equations , vol.9 , pp. 561-595
    • Perthame, B.1
  • 19
    • 0001426381 scopus 로고
    • Discontinuous viscosity solutions to Dirichlet problems for Hamilton-Jacobi equations with convex Hamiltonians
    • P. SORAVIA, Discontinuous viscosity solutions to Dirichlet problems for Hamilton-Jacobi equations with convex Hamiltonians, Comm. Partial Differential Equations, 18 (1993), pp. 1493-1514.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 1493-1514
    • Soravia, P.1
  • 20
    • 0033713022 scopus 로고    scopus 로고
    • Discontinuous solutions of the Hamilton-Jacobi equation for exit time problems
    • J. J. YE, Discontinuous solutions of the Hamilton-Jacobi equation for exit time problems, SIAM J. Control Optim., 38 (2000), pp. 1067-1085.
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 1067-1085
    • Ye, J.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.