Skip to main content
Log in

Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literatur

  1. Céa, J.: Approximation variationnelle des problèmes aux limites. Ann. Inst. Fourier (Grenoble)14, 345–444 (1964).

    Google Scholar 

  2. Collatz, L.: The numerical treatment of differential equations. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  3. Courant, R., and D. Hilbert: Methods of mathematical physics. New York: Interscience Publishers, Inc. 1966.

    Google Scholar 

  4. Gould, S. H.: Variational methods for eigenvalue problems. London: Oxford University Press 1966.

    Google Scholar 

  5. Hestenes, M. R., and W. Karush: Solutions ofAx=λBx. J. Res. Nat. Bureau Standards,47, 471–478 (1951).

    Google Scholar 

  6. Kantorowitsch, L. W., und G. P. Akilow: Funktionalanalysis in normierten Räumen. Berlin: Akademie-Verlag 1964.

    Google Scholar 

  7. Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer 1966.

    Google Scholar 

  8. Lyusternik, L. A.: On difference approximations of the Laplace operator. Am. Math. Soc. Transl.8, 289–351 (1958).

    Google Scholar 

  9. Nitsche, J., and J. C. C. Nitsche: Error estimates for the numerical solution of elliptic equations. Arch. Rat. Mech. Anal.5, 293–306 (1960).

    Google Scholar 

  10. Petryshyn, W. V.: On the eigenvalue problemTuλSu = 0 with unbounded and non-symmetric operatorsT andS. Phil. Trans. Royal Soc. London262, 413–458 (1968).

    Google Scholar 

  11. Schechter, M.: General boundary value problems for elliptic partial differential equations. Comm. Pure Appl. Math.12, 457–486 (1959).

    Google Scholar 

  12. Stummel, F.: Lineare elliptische Differenzenoperatoren. Frankfurt a. M.: Vorlesung WS 1966/67.

    Google Scholar 

  13. Taylor, A. E.: Functional analysis. New York: John Wiley and Sons, Inc. 1967.

    Google Scholar 

  14. Thomée, V.: Elliptic difference operators and Dirichlet's problem. Contr. Diff. Equ.3, 301–324 (1964).

    Google Scholar 

  15. Wielandt, H.: Zur Abgrenzung der selbstadjungierten Eigenwertaufgaben. I. Räume endlicher Dimension. Math. Nachr.2, 328–339 (1949).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grigorieff, R.D. Approximation von Eigenwertproblemen und Gleichungen zweiter Art in Hilbertschen Räumen. Math. Ann. 183, 45–77 (1969). https://doi.org/10.1007/BF01361262

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01361262

Navigation