메뉴 건너뛰기




Volumn 159, Issue 2, 1999, Pages 543-577

Homogenization of Hamilton-Jacobi equations in perforated sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033544738     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1999.3665     Document Type: Article
Times cited : (17)

References (21)
  • 1
    • 0040539657 scopus 로고
    • An extension theorem from connected sets, and homogenization in general periodic domains
    • E. Acerbi, V. Chiadò Piat, G. Dal Maso, and D. Percivale, An extension theorem from connected sets, and homogenization in general periodic domains, Nonlinear Anal. 18 (1992), 481-496.
    • (1992) Nonlinear Anal. , vol.18 , pp. 481-496
    • Acerbi, E.1    Piat, V.C.2    Dal Maso, G.3    Percivale, D.4
  • 3
    • 43949169657 scopus 로고
    • G. Barles
    • G. Barles, Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: A guided visit, Nonlinear Anal. 20 (1993), 1123-1134.
    • (1993) Nonlinear Anal. , vol.20 , pp. 1123-1134
  • 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
  • 6
    • 78049400271 scopus 로고
    • Semicontinuous viscosity solutions of Hamilton-Jacobi equations with convex hamiltonians
    • E. N. Barron and R. Jensen, Semicontinuous viscosity solutions of Hamilton-Jacobi equations with convex hamiltonians, Comm. Partial Differential Equations 15 (1990), 1713-1742.
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 1713-1742
    • Barron, E.N.1    Jensen, R.2
  • 8
    • 84966227140 scopus 로고
    • Hamilton-Jacobi equations with state constraints
    • I. Capuzzo-Dolcetta and P.-L. Lions, Hamilton-Jacobi equations with state constraints, Trans. Amer. Math. Soc. 318 (1990), 643-683.
    • (1990) Trans. Amer. Math. Soc. , vol.318 , pp. 643-683
    • Capuzzo-Dolcetta, I.1    Lions, P.-L.2
  • 10
    • 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), 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
  • 12
    • 84974059058 scopus 로고
    • Periodic homogenisation of certain fully nonlinear partial differential equations
    • L. C. 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.C.1
  • 14
    • 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
  • 15
    • 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
  • 16
    • 0001479913 scopus 로고
    • A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations
    • H. Ishii, A boundary value problem of the Dirichlet type for Hamilton-Jacobi equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), 105-135.
    • (1989) Ann. Scuola Norm. Sup. Pisa Cl. Sci. , vol.16 , Issue.4 , pp. 105-135
    • Ishii, H.1
  • 19
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • R. T. Rockafellar, "Convex Analysis," Princeton University Press, Princeton, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 20
    • 0022715502 scopus 로고
    • Optimal control with state-space constraint I
    • H. M. Soner, Optimal control with state-space constraint I, SIAM J. Control Optim. (1986), 552-561.
    • (1986) SIAM J. Control Optim. , pp. 552-561
    • Soner, H.M.1
  • 21
    • 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), 1493-1514.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 1493-1514
    • Soravia, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.