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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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/26845 |
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| _version_ | 1832551923417350144 |
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| author | Vladimir Kozlov |
| author_facet | Vladimir Kozlov |
| author_sort | Vladimir Kozlov |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-02eb313f7ad64b4e97259ce196ab7333 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-02eb313f7ad64b4e97259ce196ab73332025-02-03T06:00:06ZengWileyAbstract 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 |
| spellingShingle | Vladimir Kozlov Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues Abstract and Applied Analysis |
| title | 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_short | Lq-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues |
| title_sort | lq perturbations of leading coefficients of elliptic operators asymptotics of eigenvalues |
| url | http://dx.doi.org/10.1155/AAA/2006/26845 |
| work_keys_str_mv | AT vladimirkozlov lqperturbationsofleadingcoefficientsofellipticoperatorsasymptoticsofeigenvalues |