메뉴 건너뛰기




Volumn 25, Issue 3-4, 2001, Pages 271-297

Optimal conditions of convergence and effects of anisotropy in the homogenization of non-uniformly elliptic problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0347786606     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (21)
  • 1
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. Allaire, Homogenization and two-scale convergence, SIAM J. Math. Anal. 23(6) (1992), 1482-1518.
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.6 , pp. 1482-1518
    • Allaire, G.1
  • 2
    • 0027610594 scopus 로고
    • Homogenization of the Neumann problem with nonisolated holes, appendix written with A.K. Nankadumar
    • G. Allaire and F. Murat, Homogenization of the Neumann problem with nonisolated holes, appendix written with A.K. Nankadumar, Asymptotic Anal. 7 (1993), 81-95.
    • (1993) Asymptotic Anal. , vol.7 , pp. 81-95
    • Allaire, G.1    Murat, F.2
  • 3
    • 0001085153 scopus 로고
    • Derivation of the double porosity model of single phase flow via homogenization theory
    • T. Arbogast, J. Douglas and U. Hornung, Derivation of the double porosity model of single phase flow via homogenization theory, SIAM J. Math. Anal. 21 (1990), 823-836.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 823-836
    • Arbogast, T.1    Douglas, J.2    Hornung, U.3
  • 5
    • 0346837627 scopus 로고    scopus 로고
    • Preprint ANLA 98-9, Univ. de Toulon
    • M. Bellieud and G. Bouchitté, Preprint ANLA 98-9, Univ. de Toulon, 1998.
    • (1998)
    • Bellieud, M.1    Bouchitté, G.2
  • 7
    • 0001903019 scopus 로고    scopus 로고
    • Poincaré-Wirtinger's inequality for the homogenization in perforated domains
    • M. Briane, Poincaré-Wirtinger's inequality for the homogenization in perforated domains, Boll. Un. Mat. Ital. B(7) 11 (1997), 53-82.
    • (1997) Boll. Un. Mat. Ital. B(7) , vol.11 , pp. 53-82
    • Briane, M.1
  • 8
    • 0012944868 scopus 로고    scopus 로고
    • Homogenization in some weakly connected domains
    • M. Briane, Homogenization in some weakly connected domains, Ricerche Mat. XLVII(1) (1998), 51-94.
    • (1998) Ricerche Mat. , vol.47 , Issue.1 , pp. 51-94
    • Briane, M.1
  • 9
    • 51249179544 scopus 로고
    • Γ-limits of integral functionals
    • G. Buttazzo and G. Dal Maso, Γ-limits of integral functionals, J. Analyse Math. 37 (1980), 145-185.
    • (1980) J. Analyse Math. , vol.37 , pp. 145-185
    • Buttazzo, G.1    Dal Maso, G.2
  • 10
    • 0002241664 scopus 로고
    • Some properties of Γ-limits of integral functionals
    • L. Carbone and C. Sbordone, Some properties of Γ-limits of integral functionals, Ann. Math. Pura Appl. (4) 122 (1979), 1-60.
    • (1979) Ann. Math. Pura Appl. (4) , vol.122 , pp. 1-60
    • Carbone, L.1    Sbordone, C.2
  • 11
    • 0002697113 scopus 로고
    • Asymptotic of solution of differential equations with strongly oscillating and degenerating matrix of coefficients
    • V.N. Fenchenko and E. Ya. Khruslov, Asymptotic of solution of differential equations with strongly oscillating and degenerating matrix of coefficients, Dokl. Akad. Nauk Ukrainy 4 (1980).
    • (1980) Dokl. Akad. Nauk Ukrainy , vol.4
    • Fenchenko, V.N.1    Khruslov, E.Ya.2
  • 12
    • 0043087922 scopus 로고
    • Étude de transmission à travers des inclusions minces faiblement conductrices de codimension 1: Homogénéisation et optimisation des structures
    • M. Hnid, Étude de transmission à travers des inclusions minces faiblement conductrices de codimension 1: Homogénéisation et optimisation des structures, M2AN 24(5) (1990), 627-650.
    • (1990) M2AN , vol.24 , Issue.5 , pp. 627-650
    • Hnid, M.1
  • 13
    • 0343600674 scopus 로고
    • The asymptotic behavior of solutions of the second boundary value problems under fragmentation of the boundary of the domain
    • E. Ya. Khruslov, The asymptotic behavior of solutions of the second boundary value problems under fragmentation of the boundary of the domain, Math. USSR-Sb. 35(2) (1979).
    • (1979) Math. USSR-Sb. , vol.35 , Issue.2
    • Khruslov, E.Ya.1
  • 14
    • 0003714777 scopus 로고
    • Pertubations Singulières dans les Problèmes aux Limites et en Contrôle Optimal
    • Springer
    • J.L. Lions, Pertubations Singulières dans les Problèmes aux Limites et en Contrôle Optimal, Lecture Notes in Math., Vol. 323, Springer (1973).
    • (1973) Lecture Notes in Math. , vol.323
    • Lions, J.L.1
  • 15
    • 0000613916 scopus 로고
    • Homogenization of non-uniformly elliptic operators
    • P. Marcellini and C. Sbordone, Homogenization of non-uniformly elliptic operators, Appl. Anal. 8(80) (1978), 101-114.
    • (1978) Appl. Anal. , vol.8 , Issue.80 , pp. 101-114
    • Marcellini, P.1    Sbordone, C.2
  • 16
    • 0001253780 scopus 로고
    • p-estimate for the gradient of solutions of second order elliptic divergence equations
    • p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa 17 (1963), 189-206.
    • (1963) Ann. Scuola Norm. Sup. Pisa , vol.17 , pp. 189-206
    • Meyers, N.G.1
  • 17
    • 85027613681 scopus 로고
    • Composite media and Dirichlet forms
    • ICTP Trieste, G. Dal Maso and G. Dell Antonio, eds, Birkhäuser
    • U. Mosco, Composite media and Dirichlet forms, in: Proc. Workshop on Composite Media and Homogenization, ICTP Trieste, 1989, G. Dal Maso and G. Dell Antonio, eds, Birkhäuser, 1991.
    • (1989) Proc. Workshop on Composite Media and Homogenization
    • Mosco, U.1
  • 18
    • 0346763714 scopus 로고
    • H-convergence
    • Université d'Alger
    • F. Murat, H-convergence, in: Séminaire d'Analyse Fonctionnelle et Numérique, 1977-78, Université d'Alger. English translation: F. Murat and L. Tartar, H-convergence, in: Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn, eds, Progress in Nonlinear Differential Equations and their Applications, Vol. 31, Birkäuser, Boston, 1997, pp. 21-43.
    • (1977) Séminaire D'Analyse Fonctionnelle et Numérique
    • Murat, F.1
  • 19
    • 0002615068 scopus 로고    scopus 로고
    • H-convergence
    • English translation: Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn, eds, Birkäuser, Boston
    • F. Murat, H-convergence, in: Séminaire d'Analyse Fonctionnelle et Numérique, 1977-78, Université d'Alger. English translation: F. Murat and L. Tartar, H-convergence, in: Topics in the Mathematical Modelling of Composite Materials, A. Cherkaev and R. Kohn, eds, Progress in Nonlinear Differential Equations and their Applications, Vol. 31, Birkäuser, Boston, 1997, pp. 21-43.
    • (1997) Progress in Nonlinear Differential Equations and Their Applications , vol.31 , pp. 21-43
    • Murat, F.1    Tartar, L.2
  • 20
    • 0001620093 scopus 로고
    • Comportement limite d'un problème de transmission à travers une plaque mince et faiblement conductrice
    • E. Sanchez Palencia, Comportement limite d'un problème de transmission à travers une plaque mince et faiblement conductrice, C. R. Acad. Sci. Paris 270 (1970), 1026-1028.
    • (1970) C. R. Acad. Sci. Paris , vol.270 , pp. 1026-1028
    • Sanchez Palencia, E.1
  • 21
    • 0004046242 scopus 로고
    • Collège de France, unpublished, partially written in [18]
    • L. Tartar, Cours Peccot, Collège de France, 1977, unpublished, partially written in [18].
    • (1977) Cours Peccot
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.