Kraus, Margarita and Langer, M. and Tretter, Christiane (2004) Variational principles and eigenvalue estimates for unbounded block operator matrices and applications. Journal of Computational and Applied Mathematics, 171 (1-2). pp. 311-334. ISSN 0377-0427
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Official URL: http://dx.doi.org/10.1016/j.cam.2004.01.024
Abstract
In this paper we establish variational principles, eigenvalue estimates and asymptotic formulae for eigenvalues of three different classes of unbounded block operator matrices. The results allow to characterise eigenvalues that are not necessarily located at the boundary of the spectrum. Applications to an example from magnetohydrodynamics and to Dirac operators on certain manifolds are given.
| Item type: | Article |
|---|---|
| ID code: | 2181 |
| Keywords: | variational principle for eigenvalues, estimates for eigenvalues, asymptotic distribution of eigenvalues, quadratic numerical range, magnetohydrodynamics, warped product of spin manifolds, dirac operator, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Strathprints Administrator |
| Date Deposited: | 05 Jan 2007 |
| Last modified: | 20 Mar 2012 12:03 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/2181 |
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