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

Margarita Kraus, M. Langer, Christiane Tretter

Research output: Contribution to journalArticle

18 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)311-334
Number of pages24
JournalJournal of Computational and Applied Mathematics
Volume171
Issue number1-2
DOIs
Publication statusPublished - Oct 2004

Keywords

  • variational principle for eigenvalues
  • estimates for eigenvalues
  • asymptotic distribution of eigenvalues
  • quadratic numerical range
  • magnetohydrodynamics
  • warped product of spin manifolds
  • dirac operator

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