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Volumn 55, Issue 1-2, 2009, Pages 29-57

Spectral convergence for high-contrast elliptic periodic problems with a defect via homogenization

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EID: 73949146468     PISSN: 00255793     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0025579300000942     Document Type: Article
Times cited : (24)

References (26)
  • 2
    • 21144473666 scopus 로고
    • Homogenization and two-scale convergence
    • G. Allaire, Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 (1992), 1482-1518.
    • (1992) SIAM J. Math. Anal , vol.23 , pp. 1482-1518
    • Allaire, G.1
  • 3
    • 0001085153 scopus 로고
    • Derivation of the double porosity model of single phase flow via homogenization theory
    • T. Arbogast, J. Douglas Jr. and U. Hornung, Derivation of the double porosity model of single phase flow via homogenization theory. SIAM J. Math. Anal. 21(4) (1990), 823-836.
    • (1990) SIAM J. Math. Anal , vol.21 , Issue.4 , pp. 823-836
    • Arbogast, T.1    Douglas Jr., J.2    Hornung, U.3
  • 4
    • 62649172346 scopus 로고    scopus 로고
    • Homogenization of spectral problems in bounded domains with doubly high contrasts
    • N. O. Babych, I. V. Kamotski and V. P. Smyshlyaev, Homogenization of spectral problems in bounded domains with doubly high contrasts. Networks Heterogen. Media 3(3) (2008), 413-436.
    • (2008) Networks Heterogen. Media , vol.3 , Issue.3 , pp. 413-436
    • Babych, N.O.1    Kamotski, I.V.2    Smyshlyaev, V.P.3
  • 5
    • 0002271908 scopus 로고    scopus 로고
    • Localization near band edges for random Schrödinger operators
    • J. M. Barbaroux, J. M. Combes and P. D. Hislop, Localization near band edges for random Schrödinger operators. Helv. Phys. Acta 70 (1997), 16-43.
    • (1997) Helv. Phys. Acta , vol.70 , pp. 16-43
    • Barbaroux, J.M.1    Combes, J.M.2    Hislop, P.D.3
  • 6
    • 30844436814 scopus 로고    scopus 로고
    • Homogenization of evolution problems for a composite medium with very small and heavy inclusions
    • M. Bellieud, Homogenization of evolution problems for a composite medium with very small and heavy inclusions. ESAIM Control Optim. Calc. Var. 11(2) (2005), 266-284.
    • (2005) ESAIM Control Optim. Calc. Var , vol.11 , Issue.2 , pp. 266-284
    • Bellieud, M.1
  • 8
    • 21344441820 scopus 로고    scopus 로고
    • Homogenization near resonances and artificial magnetism from dielectrics
    • G. Bouchitté and D. Felbacq, Homogenization near resonances and artificial magnetism from dielectrics. C. R. Math. Acad. Sci. Paris 339(5) (2004), 377-382.
    • (2004) C. R. Math. Acad. Sci. Paris , vol.339 , Issue.5 , pp. 377-382
    • Bouchitté, G.1    Felbacq, D.2
  • 9
    • 0037767907 scopus 로고    scopus 로고
    • On the double porosity model of a single phase flow in random media
    • A. Bourgeat, A. Mikelic and A. Piatnitski, On the double porosity model of a single phase flow in random media. Asymptot. Anal. 34(3-4) (2003), 311-332.
    • (2003) Asymptot. Anal , vol.34 , Issue.3-4 , pp. 311-332
    • Bourgeat, A.1    Mikelic, A.2    Piatnitski, A.3
  • 10
    • 0042014151 scopus 로고    scopus 로고
    • Homogenization of the Stokes equations with high-contrast viscosity
    • M. Briane, Homogenization of the Stokes equations with high-contrast viscosity. J. Math. Pures Appl. 82(7) (2003), 843-876.
    • (2003) J. Math. Pures Appl , vol.82 , Issue.7 , pp. 843-876
    • Briane, M.1
  • 11
    • 33748488065 scopus 로고    scopus 로고
    • Two-scale asymptotics for non-local effects in composites with highly anisotropic fibres
    • K. D. Cherednichenko, Two-scale asymptotics for non-local effects in composites with highly anisotropic fibres. Asymptot. Anal. 49(1-2) (2006), 39-59.
    • (2006) Asymptot. Anal , vol.49 , Issue.1-2 , pp. 39-59
    • Cherednichenko, K.D.1
  • 12
    • 33645817582 scopus 로고    scopus 로고
    • Non-local homogenized limits for composite media with highly anisotropic periodic fibres
    • K. D. Cherednichenko, V. P. Smyshlyaev and V. V. Zhikov, Non-local homogenized limits for composite media with highly anisotropic periodic fibres. Proc. Roy. Soc. Edinburgh A 136(1) (2006), 87-114.
    • (2006) Proc. Roy. Soc. Edinburgh A , vol.136 , Issue.1 , pp. 87-114
    • Cherednichenko, K.D.1    Smyshlyaev, V.P.2    Zhikov, V.V.3
  • 13
    • 0030701098 scopus 로고    scopus 로고
    • Localised classical waves created by defects
    • A. Figotin and A. Klein, Localised classical waves created by defects. J. Statist. Phys. 86(1-2) (1997), 165-177.
    • (1997) J. Statist. Phys , vol.86 , Issue.1-2 , pp. 165-177
    • Figotin, A.1    Klein, A.2
  • 14
    • 0034366480 scopus 로고    scopus 로고
    • Spectral properties of periodic media in the large coupling limit
    • R. Hempell and J. Lienau, Spectral properties of periodic media in the large coupling limit. Comm. Partial Differential Equations 25 (2000), 1445-1470.
    • (2000) Comm. Partial Differential Equations , vol.25 , pp. 1445-1470
    • Hempell, R.1    Lienau, J.2
  • 17
    • 55149117091 scopus 로고    scopus 로고
    • Magnetism and homogenization of microresonators
    • R. V. Kohn and S. P. Shipman, Magnetism and homogenization of microresonators. Multiscale Model. Simul. 7(1) (2008), 62-92.
    • (2008) Multiscale Model. Simul , vol.7 , Issue.1 , pp. 62-92
    • Kohn, R.V.1    Shipman, S.P.2
  • 19
    • 73949142946 scopus 로고    scopus 로고
    • V. P. Mikhailov, Partial Differential Equations, Mir (Moscow, 1978) (translated from Russian).
    • V. P. Mikhailov, Partial Differential Equations, Mir (Moscow, 1978) (translated from Russian).
  • 20
    • 0000315621 scopus 로고
    • A general convergence result for a functional related to the theory of homogenization
    • G. Nguetseng, A general convergence result for a functional related to the theory of homogenization. SIAM J. Math. Anal. 20 (1989), 608-623.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 608-623
    • Nguetseng, G.1
  • 22
    • 0033235834 scopus 로고    scopus 로고
    • Homogenization of elasticity equations with contrasting coefficients
    • G. V. Sandrakov, Homogenization of elasticity equations with contrasting coefficients. Sb. Math. 190(12) (1999), 1749-1806.
    • (1999) Sb. Math , vol.190 , Issue.12 , pp. 1749-1806
    • Sandrakov, G.V.1
  • 23
    • 0001971389 scopus 로고    scopus 로고
    • On an extension of the method of two-scale convergence and its applications
    • V. V. Zhikov, On an extension of the method of two-scale convergence and its applications. Mat. Sb. 191(7) (2000), 31-72
    • (2000) Mat. Sb , vol.191 , Issue.7 , pp. 31-72
    • Zhikov, V.V.1
  • 24
    • 0034341523 scopus 로고    scopus 로고
    • Russian; translation in, 973-1014
    • (Russian; translation in Sb. Math. 191(7-8) (2000), 973-1014).
    • (2000) Sb. Math , vol.191 , Issue.7-8
  • 25
    • 33645964219 scopus 로고    scopus 로고
    • Gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients
    • V. V. Zhikov, Gaps in the spectrum of some elliptic operators in divergent form with periodic coefficients. Algebra i Analiz 16(5) (2004), 34-58
    • (2004) Algebra i Analiz , vol.16 , Issue.5 , pp. 34-58
    • Zhikov, V.V.1
  • 26
    • 85009754868 scopus 로고    scopus 로고
    • translation in St
    • (Russian; translation in St. Petersburg Math. J. 16(5) (2005), 773-790).
    • (2005) Petersburg Math. J , vol.16 , Issue.5 , pp. 773-790


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