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Volumn 26, Issue 5-6, 2001, Pages 983-1002

Hamilton-Jacobi equations with partial gradient and application to homogenization

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EID: 1642471469     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-100002418     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0033544738 scopus 로고    scopus 로고
    • Homogenization of Hamilton-Jacobi equations in perforated sets
    • O. Alvarez, Homogenization of Hamilton-Jacobi equations in perforated sets, J. Differential Equations 159 (1999), 543-577.
    • (1999) J. Differential Equations , vol.159 , pp. 543-577
    • Alvarez, O.1
  • 3
    • 0001577905 scopus 로고
    • Uniqueness and regularity results for first-order Hamilton-Jacobi equations
    • G. Barles, Uniqueness and regularity results for first-order Hamilton-Jacobi equations, Indiana Univ. Math. J. 39 (1990), 443-466.
    • (1990) Indiana Univ. Math. J. , vol.39 , pp. 443-466
    • Barles, G.1
  • 5
    • 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), 1133-1148.
    • (1988) SIAM J. Control Optim. , vol.26 , pp. 1133-1148
    • Barles, G.1    Perthame, B.2
  • 7
    • 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
  • 8
    • 84967758647 scopus 로고
    • Viscosity solutions of Hamilton-Jacobi equations
    • M. G. Crandall and P.-L. Lions, Viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 277 (1983), 1-42.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 1-42
    • Crandall, M.G.1    Lions, P.-L.2
  • 9
    • 84974059058 scopus 로고
    • Periodic homogenisation of certain fully nonlinear partial differential equations
    • L. Evans, Periodic homogenisation of certain fully nonlinear partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), 245-265.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.120 , pp. 245-265
    • Evans, L.1
  • 10
    • 0001648724 scopus 로고    scopus 로고
    • Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure
    • K. Horie and H. Ishii, Homogenization of Hamilton-Jacobi equations on domains with small scale periodic structure, Indiana Univ. Math. J. 47 (1998), 1011-1058.
    • (1998) Indiana Univ. Math. J. , vol.47 , pp. 1011-1058
    • Horie, K.1    Ishii, H.2
  • 11
    • 84972566521 scopus 로고
    • Perron's method for Hamilton-Jacobi equations
    • H. Ishii, Perron's method for Hamilton-Jacobi equations, Duke Math. J. 55 (1987), 369-384.
    • (1987) Duke Math. J. , vol.55 , pp. 369-384
    • Ishii, H.1
  • 15
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint I
    • H. M. Soner, Optimal control with state-space constraint I, SIAM J. Control Optim. 24 (1986), 552-561.
    • (1986) SIAM J. Control Optim. , vol.24 , pp. 552-561
    • Soner, H.M.1


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