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Variational principles for eigenvalues of block operator matrices

Langer, H. and Langer, M. and Tretter, Christiane (2002) Variational principles for eigenvalues of block operator matrices. Indiana University Mathematics Journal, 51 (6). pp. 1427-1460. ISSN 0022-2518

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Abstract

In this paper variational principles for block operator matrices are established which are based on functionals associated with the quadratic numerical range. These principles allow to characterize, e.g., eigenvalues in gaps of the essential spectrum and to derive two-sided eigenvalue estimates in terms of the spectral characteristics of the entries of the block operator matrix. The results are applied to a second order partial differential equation depending on the spectral parameter nonlinearly.

Item type: Article
ID code: 35433
Keywords: Eigenvalues, block operator matrix, Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 04 Nov 2011 15:20
    Last modified: 12 Mar 2012 11:39
    URI: http://strathprints.strath.ac.uk/id/eprint/35433

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