Skip to main content

On the singular values of non-self-adjoint operators of Schrödinger type

  • Conference paper
  • First Online:
Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 964))

  • 713 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.E. Edmunds and W.D. Evans, On the distribution of eigenvalues of Schrödinger operators, to appear.

    Google Scholar 

  2. D.E. Edmunds, W.D. Evans and J. Fleckinger, On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential, to appear.

    Google Scholar 

  3. K. Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. USA 37 (1951), 760.

    Article  MathSciNet  MATH  Google Scholar 

  4. J. Fleckinger, Estimate of the number of eigenvalues for an operator of Schrödinger type, Proc. Roy. Soc. Edinburgh 89A (1981), 355.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Fleckinger, Répartition des valeurs propres d'opérateurs de type Schrödinger, Comptes rendus Acad. Sci. Paris 292 (1981), 359.

    MathSciNet  MATH  Google Scholar 

  6. B. Helffer and D. Robert, Comportement asymptotique précise du spectre d'opérateurs globalement elliptiques dans ℝRn, Seminaire EDP, École Polytechnique, 1980–81, exposé 2.

    Google Scholar 

  7. I.C. Gohberg and M.G. Krein, Introduction to the theory of linear non selfadjoint operators, Transl. Amer. Math. Soc. 18 (1969).

    Google Scholar 

  8. L. Hörmander, On the asymptotic distribution of the eigenvalues of pseudodifferential operators in ℝn, Ark.För Math. 17 (1979), 296.

    MathSciNet  Google Scholar 

  9. T. Kato, Perturbation theory for linear operators (Springer-Verlag, 1966).

    Google Scholar 

  10. A.G. Ramm, Spectral properties of some non-self-adjoint operators and some applications, in Spectral theory of differential operators, Math. Studies 55 (North Holland 1981).

    Google Scholar 

  11. M. Reed and B. Simon, Modern methods of mathematical physics (Academic Press, 1978).

    Google Scholar 

Download references

Authors

Editor information

W.N. Everitt B.D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Fleckinger, J. (1982). On the singular values of non-self-adjoint operators of Schrödinger type. In: Everitt, W., Sleeman, B. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 964. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065002

Download citation

  • DOI: https://doi.org/10.1007/BFb0065002

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11968-5

  • Online ISBN: 978-3-540-39561-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics