We consider a Neumann-Robin spectral problem in a perforated domain Ωε. By homogenization techniques we find the suitable homogenized problem and we dis- cuss the asymptotics of eigenpairs, as the size of the perforation tends to zero. Our results involve an approach based on Viˇs´ık lemma and the Mosco convergence of eigenspaces. We prove that eigenpairs of our problem converge to eigenpairs of the homogenized problem with rate √ ε.

Spectral homogenization for a Robin-Neumann problem / Cancedda, Andrea. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 10:2(2017), pp. 199-222. [10.1007/s40574-016-0075-z]

Spectral homogenization for a Robin-Neumann problem

CANCEDDA, ANDREA
2017

Abstract

We consider a Neumann-Robin spectral problem in a perforated domain Ωε. By homogenization techniques we find the suitable homogenized problem and we dis- cuss the asymptotics of eigenpairs, as the size of the perforation tends to zero. Our results involve an approach based on Viˇs´ık lemma and the Mosco convergence of eigenspaces. We prove that eigenpairs of our problem converge to eigenpairs of the homogenized problem with rate √ ε.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2683456
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