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 (https://doi.org/10.1512/iumj.2002.51.2286)

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.

ORCID iDs

Langer, M. ORCID: https://orcid.org/0000-0001-8813-7914

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• Item metadata

  Item type:	Article
  ID code:	35433
  Dates:	Date Event 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Pure Administrator
  Date deposited:	04 Nov 2011 15:20
  Last modified:	11 Nov 2024 09:58
  URI:	https://strathprints.strath.ac.uk/id/eprint/35433