Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

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

Full text not available from this repository.


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

Citation Data

Cited 4 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item