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.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2683456
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