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Volumn 19, Issue 1, 2013, Pages 112-128

Analysis of Hamilton-Jacobi-Bellman equations arising in stochastic singular control

Author keywords

Free boundary problem; Gradient constraint; HJB equation; Penalty method; Singular control; Viscosity solutions

Indexed keywords

FREE-BOUNDARY PROBLEMS; GRADIENT CONSTRAINT; HJB EQUATIONS; PENALTY METHODS; SINGULAR CONTROL; VISCOSITY SOLUTIONS;

EID: 84873910670     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv/2012001     Document Type: Article
Times cited : (21)

References (11)
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  • 2
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    • User's guide to viscosity solutions of second order partial differential equations
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    • (1992) Bull. Amer. Math. Soc. (N.S , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.-L.3
  • 3
    • 0343966620 scopus 로고
    • A second-order elliptic equation with gradient constraint
    • L.C. Evans, A second-order elliptic equation with gradient constraint. Comm. Partial Differential Equations 4 (1979) 555-572.
    • (1979) Comm. Partial Differential Equations , vol.4 , pp. 555-572
    • Evans, L.C.1
  • 4
    • 0003228130 scopus 로고    scopus 로고
    • Partial differential equations
    • American Mathematical Society Providence RI
    • L.C. Evans, Partial differential equations. Graduate Studies in Mathematics 19. American Mathematical Society, Providence, RI (1998).
    • (1998) Graduate Studies in Mathematics , vol.19
    • Evans, L.C.1
  • 7
    • 0342660482 scopus 로고
    • Boundary regularity and uniqueness for an elliptic equation with gradient constraint
    • H. Ishii and S. Koike, Boundary regularity and uniqueness for an elliptic equation with gradient constraint. Comm. Partial Differential Equations 8 (1983) 317-346.
    • (1983) Comm. Partial Differential Equations , vol.8 , pp. 317-346
    • Ishii, H.1    Koike, S.2
  • 9
    • 84873898068 scopus 로고
    • A free boundary problem related to singular stochastic control
    • Stochastics Monogr Gordon and Breach, New York
    • S.E. Shreve and H.M. Soner, A free boundary problem related to singular stochastic control, Applied stochastic analysis (London, 1989), Stochastics Monogr. 5. Gordon and Breach, New York (1991) 265-301.
    • (1991) Applied Stochastic Analysis (London 1989) , vol.5 , pp. 265-301
    • Shreve, S.E.1    Soner, H.M.2
  • 10
    • 0024702833 scopus 로고
    • Regularity of the value function for a two-dimensional singular stochastic control problem
    • H.M. Soner and S. Shreve, Regularity of the value function for a two-dimensional singular stochastic control problem. SIAM J. Control Optim. 27 (1989) 876-907.
    • (1989) SIAM J. Control Optim , vol.27 , pp. 876-907
    • Soner, H.M.1    Shreve, S.2
  • 11
    • 84963163975 scopus 로고
    • The C1,1-character of solutions of second order elliptic equations with gradient constraint
    • M. Wiegner, The C1,1-character of solutions of second order elliptic equations with gradient constraint. Comm. Partial Differential Equations 6 (1981) 361-371.
    • (1981) Comm. Partial Differential Equations , vol.6 , pp. 361-371
    • Wiegner, M.1


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