Spectral stability of the Robin Laplacian |
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Authors: | V I Burenkov M Lanza de Cristoforis |
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Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Università di Padova, Via Trieste 63, 35121 Padova, Italy |
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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. |
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Keywords: | |
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