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Spectral stability of the Robin Laplacian

Burenkov, Victor and Lanza de Cristoforis, M. 2008. Spectral stability of the Robin Laplacian. Proceedings of the Steklov Institute of Mathematics 260 (1) , pp. 68-89. 10.1134/S0081543808010069

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Abstract

We consider the Robin Laplacian in two bounded regions Ω1 and Ω2 of ℝ N with Lipschitz boundaries and such that Ω2 ⊂ Ω1, and we obtain two-sided estimates for the eigenvalues λ n,2 of the Robin Laplacian in Ω2 via the eigenvalues λ n, 1 of the Robin Laplacian in Ω1. Our estimates depend on the measure of the set difference Ω\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

Item Type: Article
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: SP MAIK Nauka/Interperiodica
ISSN: 0081-5438
Last Modified: 04 Jun 2017 08:47
URI: http://orca.cf.ac.uk/id/eprint/84906

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