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Variational principles and eigenvalue estimates for unbounded block operator matrices and applications

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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    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, Computational Mathematics, Applied Mathematics
    Subjects: Science > Mathematics
    Department: Faculty of Science > Mathematics and Statistics
    Related URLs:
      Depositing user: Strathprints Administrator
      Date Deposited: 05 Jan 2007
      Last modified: 05 Sep 2014 01:00
      URI: http://strathprints.strath.ac.uk/id/eprint/2181

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