Skip to main content
Log in

Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold

  • Mathematical Physics
  • Published:
Doklady Mathematics 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.

References

  1. P. Kuchment, Waves Random Media 12(12), R1–R24 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  2. P. Kuchment and O. Post, Commun. Math. Phys. 275, 805–826 (2007).

    Article  MATH  MathSciNet  Google Scholar 

  3. D. Grieser, Proc. London Math. Soc. 97, 718–752 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  4. S. A. Nazarov, St. Petersburg Math. J. 23, 1023–1045 (2012).

    Article  MATH  MathSciNet  Google Scholar 

  5. S. A. Nazarov, Acoust. Phys. 56, 1004–1015 (2010).

    Article  Google Scholar 

  6. S. A. Nazarov and A. V. Shanin, Comput. Math. Math. Phys. 51, 96–110 (2011).

    Article  MathSciNet  Google Scholar 

  7. S. A. Nazarov and B. A. Plamenevsky, Elliptic Problems in Domains with Piecewise Smooth Boundaries (Walter de Gruyter, New York, 1994).

    Book  MATH  Google Scholar 

  8. S. A. Nazarov, Theor. Math. Phys. 167, 606–627 (2011).

    Article  MATH  Google Scholar 

  9. S. A. Nazarov, Math. USSR-Sb. 69, 307–340 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  10. D. S. Jones, Proc. Cambridge Phil. Soc. 49, 668–684 (1953).

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Nazarov.

Additional information

Original Russian Text © S.A. Nazarov, 2014, published in Doklady Akademii Nauk, 2014, Vol. 458, No. 6, pp. 636–640.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nazarov, S.A. Structure of the spectrum of a net of quantum waveguides and bounded solutions of a model problem at the threshold. Dokl. Math. 90, 637–641 (2014). https://doi.org/10.1134/S1064562414050305

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064562414050305

Keywords

Navigation