Skip to main content
SpringerLink
Log in

The Discrete Spectrum of the Laplace Operator in a Cylinder with Locally Perturbed Boundary

  • Published:
Differential Equations Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. Rellich, F., in Studies and Essays Presented to R. Courant, New York, 1948, pp. 329–344.

  2. Jones, D.S., Proc. Camb. Phil. Soc., 1953, vol. 49, pp. 668–684.

    Google Scholar 

  3. Glazman, I.M., Pryamye metody kachestvennogo spektral'nogo analiza singulyarnykh differentsial'nykh operatorov (Direct Methods for Qualitative Spectral Analysis of Singular Differential Operators), Moscow, 1963.

  4. Exner, P. and Seba, P., J. Math. Phys., 1989, vol. 30, pp. 2574–2580.

    Google Scholar 

  5. Evans, D.V., Levitin, M., and Vassiliev, D., J. Fluid Mech., 1994, vol. 261, pp. 21–31.

    Google Scholar 

  6. Bulla, W., Gesztesy, F., Renger, W., and Simon, B., Proceedings of AMS, 1997, vol. 125, no. 5, pp. 1487–1495.

    Google Scholar 

  7. Dautov, R.Z. and Karchevskii, E.M., Zh. Vychislit. Mat. Mat. Fiz., 1999, vol. 39, no. 8, pp. 1348–1355.

    Google Scholar 

  8. Bonnet-Ben Dhia, A.S. and Joly, P., SIAM J. Appl. Math., 1993, vol. 53, no. 6, pp. 1507–1550.

    Google Scholar 

  9. Il'inskii, A.S., Kravtsov, V.V., and Sveshnikov, A.G., Matematicheskie modeli elektrodinamiki (Mathematical Models of Electrodynamics), Moscow, 1991.

  10. Ladyzhenskaya, O.A. and Ural'tseva, N.N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa (Linear and Quasilinear Equations of Elliptic Type), Moscow, 1973.

Download references

Author information

Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. L. Delitsyn

Authors
  1. A. L. Delitsyn
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Delitsyn, A.L. The Discrete Spectrum of the Laplace Operator in a Cylinder with Locally Perturbed Boundary. Differential Equations 40, 207–217 (2004). https://doi.org/10.1023/B:DIEQ.0000033710.40234.3c

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000033710.40234.3c

Keywords

Search

Navigation