Homogenization of spectral problems in bounded domains with doubly high contrasts

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dc.creatorBabych, Natalia O.
dc.creatorKamotski, Ilia V.
dc.creatorSmyshlyaev, Valery P.
dc.date2007-11-15
dc.date.accessioned2026-07-07T08:43:06Z
dc.date.available2026-07-07T08:43:06Z
dc.descriptionHomogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expansions for eigenvalues and eigenfunctions are constructed. Two-scale limit equations are derived and relate to certain non-standard self-adjoint operators. In particular they explicitly display the first two terms in the asymptotic expansion for the eigenvalues, with a surprising bound for the error of order ε^{5/4} proved.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0711.2405
dc.identifierhttp://arxiv.org/abs/0711.2405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142198
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35B27; 34E
dc.titleHomogenization of spectral problems in bounded domains with doubly high contrasts
dc.typetext

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