Skip to main content
Log in

Some properties of the operators generated by a derivative of the acoustic double layer potential

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

We give a formula for calculating a derivative of the acoustic double layer potential and prove boundedness of the operator generated by a derivative in generalized Hölder spaces.

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.

Similar content being viewed by others

References

  1. Colton D. L. and Kress R., Integral Equation Methods in Scattering Theory, John Wiley and Sons, New York etc. (1983).

    MATH  Google Scholar 

  2. Gyunter N. M., Potential Theory and Its Applications to Basic Problems of Mathematical Physics, F. Ungar Publ. Co., New York (1967).

    Google Scholar 

  3. Vladimirov V. S., Equations of Mathematical Physics, Marcel Dekker, Ins., New York (1971).

    Google Scholar 

  4. Mikhlin S. G., Multidimensional Singular Integrals and Integral Equations, Pergamon Press, Oxford, London, Edinburgh, New York, Paris, and Frankfurt (1965).

    MATH  Google Scholar 

  5. Kustov Yu. A. and Musaev B. I., “The cubature formula for a two-dimensional singular integral and their applications,” Submitted to VINITI on 1981, No. 4281-81.

  6. Guseĭnov A. I. and Mukhtarov Kh. Sh., Introduction to the Theory of Nonlinear Singular Integral Equations [in Russian], Nauka, Moscow (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to E. H. Khalilov.

Additional information

Original Russian Text Copyright © 2014 Khalilov E.H.

__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 3, pp. 690–700, May–June, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khalilov, E.H. Some properties of the operators generated by a derivative of the acoustic double layer potential. Sib Math J 55, 564–573 (2014). https://doi.org/10.1134/S0037446614030173

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0037446614030173

Keywords

Navigation