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Volumn 34, Issue 3, 1996, Pages 325-360

Semicontinuous solutions for Hamilton-Jacobi equations and the L∞-control problem

Author keywords

Hamilton Jacobi equation; L Control; Semicontinuous solutions

Indexed keywords

EQUIVALENCE CLASSES; FUNCTIONS; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; VISCOSITY;

EID: 0030296123     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01182629     Document Type: Article
Times cited : (20)

References (22)
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  • 4
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    • A verification theorem and application to the linear quadratic regulator for minimax control problems
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  • 6
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    • The Bellman equation for minimizing the maximum cost
    • TMA
    • E. N. Barron and H. Ishii, The Bellman equation for minimizing the maximum cost, Nonlinear Anal., TMA, 13 (1989), 1067-1090.
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    • Barron, E.N.1    Ishii, H.2
  • 7
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions of Hamilton-Jacobi equations with convex Hamiltonian
    • E. N. Barron and R. Jensen, Semicontinuous viscosity solutions of Hamilton-Jacobi equations with convex Hamiltonian, Comm. PDE, 15 (1990), 1713-1742.
    • (1990) Comm. PDE , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 8
    • 84968515664 scopus 로고
    • Optimal control and semicontinuous viscosity solutions
    • E. N. Barron and R. Jensen, Optimal control and semicontinuous viscosity solutions, Proc. Amer. Math. Soc., 113 (1991), 397-402.
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    • Barron, E.N.1    Jensen, R.2
  • 13
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    • Mean value inequalities in Hilbert space
    • F. H. Clarke and Y. S. Ledyaev, Mean value inequalities in Hilbert space, Trans. Amer. Math. Soc., 344 (1994), 307-324.
    • (1994) Trans. Amer. Math. Soc. , vol.344 , pp. 307-324
    • Clarke, F.H.1    Ledyaev, Y.S.2
  • 16
    • 85066086057 scopus 로고
    • Lower semicontinuous solutions of the Bellman equation
    • H. Frankowska, Lower semicontinuous solutions of the Bellman equation, SIAM J. Control Optim., 31 (1993), 257-272.
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    • Frankowska, H.1
  • 17
    • 0000752102 scopus 로고
    • Proximal subgradients, marginal values and augmented Lagrangeans in nonconvex optimization
    • R. T. Rockafeller, Proximal subgradients, marginal values and augmented Lagrangeans in nonconvex optimization, Math. Oper. Res., 6 (1981), 424-436.
    • (1981) Math. Oper. Res. , vol.6 , pp. 424-436
    • Rockafeller, R.T.1
  • 18
    • 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. PDE, 18 (1993), 1493-1514.
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  • 19
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  • 22
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    • Discontinuous solutions of a Dirichlet type boundary value problem for first-order pde
    • to appear
    • A. I. Subbotin, Discontinuous solutions of a Dirichlet type boundary value problem for first-order pde, Russian J. Numer. Anal. Math. Modeling (to appear).
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.