Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues

Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues

We consider eigenvalues of elliptic boundary value problems, written in variational form, when the leading coefficients are perturbed by terms which are small in some integral sense. We obtain asymptotic formulae. The main specific of these formulae is that the leading term is different from that in...

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Main Author: Vladimir Kozlov
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/26845
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spelling doaj-02eb313f7ad64b4e97259ce196ab73332020-11-25T00:20:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/2684526845Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvaluesVladimir Kozlov0Department of Mathematics, Linköping University, Linköping 58183, SwedenWe consider eigenvalues of elliptic boundary value problems, written in variational form, when the leading coefficients are perturbed by terms which are small in some integral sense. We obtain asymptotic formulae. The main specific of these formulae is that the leading term is different from that in the corresponding formulae when the perturbation is small in L∞-norm.http://dx.doi.org/10.1155/AAA/2006/26845
collection DOAJ
language English
format Article
sources DOAJ
author Vladimir Kozlov
spellingShingle Vladimir Kozlov
Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
Abstract and Applied Analysis
author_facet Vladimir Kozlov
author_sort Vladimir Kozlov
title Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
title_short Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
title_full Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
title_fullStr Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
title_full_unstemmed Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues
title_sort lq-perturbations of leading coefficients of elliptic operators: asymptotics of eigenvalues
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2006-01-01
description We consider eigenvalues of elliptic boundary value problems, written in variational form, when the leading coefficients are perturbed by terms which are small in some integral sense. We obtain asymptotic formulae. The main specific of these formulae is that the leading term is different from that in the corresponding formulae when the perturbation is small in L∞-norm.
url http://dx.doi.org/10.1155/AAA/2006/26845
work_keys_str_mv AT vladimirkozlov lqperturbationsofleadingcoefficientsofellipticoperatorsasymptoticsofeigenvalues
_version_ 1725367511331897344

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