Chapter 6. Application of the Calculus of Variations to Eigenvalue Problems

  1. R. Courant,
  2. D. Hilbert

Published Online: 24 DEC 2007

DOI: 10.1002/9783527617210.ch6

Book Title

Methods of Mathematical Physics, Volume I

Methods of Mathematical Physics, Volume I

Additional Information

How to Cite

Courant, R. and Hilbert, D. (2007) Application of the Calculus of Variations to Eigenvalue Problems, in Methods of Mathematical Physics, Volume I, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527617210.ch6

Publication History

  1. Published Online: 24 DEC 2007
  2. Published Print: 19 APR 1989

ISBN Information

Print ISBN: 9780471504474

Online ISBN: 9783527617210

SEARCH

CHAPTER TOOLS

Get PDF (3218K)

Keywords:

  • quadratic;
  • eigenvalues;
  • subdomain;
  • accumulation;
  • variational;
  • arbitrarily

Summary

This chapter contains sections titled:

  • Extremum properties of eigenvalues

  • General consequences of the extremum properties of the eigen-values

  • Completeness and expansion theorems

  • Asymptotic distribution of eigenvalues

  • Eigenvalue problems of the Schriidinger type

  • Nodes of eigenfunctions

  • Supplementary remarks and problems

Get PDF (3218K)