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Spectral Stability of the Robin Laplacian

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dc.contributor.author V. I. Burenkov
dc.contributor.author M. Lanza de Cristoforis
dc.date.accessioned 2012-09-21T11:35:44Z
dc.date.available 2012-09-21T11:35:44Z
dc.date.issued 2012-09-21
dc.identifier.uri http://dspace.enu.kz/handle/data/1933
dc.description Тр. МИАН, 260 (2008), 75–96 en_US
dc.description.abstract We consider the Robin Laplacian in two bounded regions Ω1 and Ω2 of RN with Lipschitz boundaries and such that Ω2 ⊂ Ω1, and we obtain two-sided estimates for the eigenvalues λn,2 of the Robin Laplacian in Ω2 via the eigenvalues λn,1 of the Robin Laplacian in Ω1. Our estimates depend on the measure of the set difference Ω1\Ω2 and on suitably defined characteristics of vicinity of the boundaries ∂Ω1 and ∂Ω2, and of the functions defined on ∂Ω1 and on ∂Ω2 that enter the Robin boundary conditions. en_US
dc.language.iso en en_US
dc.title Spectral Stability of the Robin Laplacian en_US


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