Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain.
type: Item
instance of: scholarly article
title: Homogenization of singular numbers for a non self-adjoint elliptic problem in a perforated domain.
zbMATH Open document ID: 1142.35332
DOI: 10.1007/BF01200252
author: R. Smith
published in: Integral Equations and Operator Theory
publication date: 2002-08-20T00:00:00Z
review text: The present paper deals with the homogenization of the singular numbers (so-called \(s\)-numbers) generated by a non-selfadjoint Dirichlet problem for a higher-order elliptic equation in a sequence of perforated domains. The author establishes the convergence j\(s\)-numbers generated by the problem to the corresponding \(s\)-numbers generated by a limit (homogenized) problem of the ``same type''. As an application the author derives an homogenization result for the principal eigenvalue and the corresponding principal eigenfunction of a non-selfadjoint second-order elliptic problem in perforated domain.
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35J30
Mathematics Subject Classification ID: 35P05
zbMATH DE Number: 1784762
zbMATH Keywords: singular numbers
zbMATH Keywords: non-selfadjoint problem
zbMATH Keywords: perforated domain
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1784762