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Volumn 6, Issue 3, 2000, Pages 651-664

A PDE approach to stochastic invariance

Author keywords

Invariance property; Second order Hamilton Jacobi Bellman equation; Stochastic differential equations; Viscosity solutions

Indexed keywords


EID: 0034384316     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2000.6.651     Document Type: Article
Times cited : (2)

References (18)
  • 1
    • 0005041780 scopus 로고    scopus 로고
    • Invariant sets for controlled degenerate diffusions: A viscosity solutions approach
    • W. M. McEneaney, G. G. Yin, and Q. Zhang, eds., Birkhäuser, Boston
    • M. Bardi and P. Goatin, Invariant sets for controlled degenerate diffusions: A viscosity solutions approach,in Stochastic Analysis, Control, Optimization and Applications. A volume in honor of W. H. Fleming (W. M. McEneaney, G. G. Yin, and Q. Zhang, eds.), 1999, pp. 191-208, Birkhäuser, Boston.
    • (1999) Stochastic Analysis, Control, Optimization and Applications. A Volume in Honor of W. H. Fleming , pp. 191-208
    • Bardi, M.1    Goatin, P.2
  • 2
    • 0013375249 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations and state constraints
    • I. Capuzzo-Dolcetta and P. L. Lions, Viscosity solutions of Hamilton-Jacobi equations and state constraints, Trans. Amer. Math. Soc., 277 (1984), 487-502.
    • (1984) Trans. Amer. Math. Soc. , vol.277 , pp. 487-502
    • Capuzzo-Dolcetta, I.1    Lions, P.L.2
  • 3
    • 84968504270 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations at the boundary
    • M. G. Crandall and R. Newcomb, Viscosity solutions of Hamilton-Jacobi equations at the boundary, Proc. Amer. Math. Soc., 94 (1985), 283-290.
    • (1985) Proc. Amer. Math. Soc. , vol.94 , pp. 283-290
    • Crandall, M.G.1    Newcomb, R.2
  • 6
    • 84967708673 scopus 로고
    • User's guide to viscosity solutions of second order partial differential equations
    • N. S.
    • 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), 1-67.
    • (1992) Bull. Amer. Math. Soc. , vol.27 , pp. 1-67
    • Crandall, M.G.1    Ishii, H.2    Lions, P.L.3
  • 9
    • 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), 493-519.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 493-519
    • Katsoulakis, M.A.1
  • 11
    • 84947513018 scopus 로고
    • Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations part 1: The dynamic programming principle and applications
    • P. L. Lions, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations part 1: the dynamic programming principle and applications, Comm. in Partial Diff. Eq., 8 (1983), 1101-1174.
    • (1983) Comm. in Partial Diff. Eq. , vol.8 , pp. 1101-1174
    • Lions, P.L.1
  • 12
    • 84953017099 scopus 로고
    • Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations part 2: Viscosity solutions and uniqueness
    • P. L. Lions, Optimal control of diffusion processes and Hamilton-Jacobi-Bellman equations part 2: viscosity solutions and uniqueness, Comm. in Partial Diff. Eq., 8 (1983), 1229-1276.
    • (1983) Comm. in Partial Diff. Eq. , vol.8 , pp. 1229-1276
    • Lions, P.L.1
  • 13
    • 0000123026 scopus 로고
    • Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations
    • P. Loreti and M. E. Tessitore, Approximation and regularity results on constrained viscosity solutions of Hamilton-Jacobi-Bellman equations, J. Math. Systems, Estim. Control, 4 (1994), 467-483.
    • (1994) J. Math. Systems, Estim. Control , vol.4 , pp. 467-483
    • Loreti, P.1    Tessitore, M.E.2
  • 14
    • 0346215545 scopus 로고    scopus 로고
    • An invariant property of Hamiltonians
    • P. Loreti and M. E. Tessitore, An invariant property of Hamiltonians, Quaderno IAC n. 13, 1997.
    • (1997) Quaderno IAC , vol.13
    • Loreti, P.1    Tessitore, M.E.2
  • 15
    • 0000899238 scopus 로고
    • Uber die lage der integralkurven gewöhnlicher differentialgleichungen
    • M. Nagumo, Uber die lage der integralkurven gewöhnlicher differentialgleichungen, Proc. Phys. Math. Soc. Japan, 24 (1942), 551-559.
    • (1942) Proc. Phys. Math. Soc. Japan , vol.24 , pp. 551-559
    • Nagumo, M.1
  • 16
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint I II
    • H. M. Soner, Optimal control with state-space constraint I II, SIAM J. Control Optim., 24 (1986), 552-562 and 1110-1122.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-562
    • Soner, H.M.1
  • 17
    • 84968474016 scopus 로고
    • A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary
    • P. E. Souganidis, A remark about viscosity solutions of Hamilton-Jacobi equations at the boundary, Proc. Amer. Math. Soc., 96 (1986), 323-329, 1986.
    • (1986) Proc. Amer. Math. Soc. , vol.96 , pp. 323-329
    • Souganidis, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.