Skip to main content
SpringerLink
Log in

Properties of the Operator Generated by the Derivative of the Acoustic Single Layer Potential

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

We prove the existence of the derivative of the acoustic single layer potential and study some properties of the operator generated by this derivative in generalized Hölder spaces.

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

Similar content being viewed by others

References

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

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

  3. E. H. Khalilov, “Some properties of the operators generated by a derivative of the acoustic double layer potential,” Sib. Math. J. 55, No. 3, 564–573 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  4. E. H. Khalilov, “On approximate solution of external Dirichlet boundary value problem for Laplace equation by collocation method,” Azerb. J. Math. 5, No. 2, 13–20 (2015).

    MathSciNet  MATH  Google Scholar 

  5. E. H. Khalilov, “On an approximate solution of a class of boundary integral equations of the first kind,” Differ. Equ. 52, No. 9, 1234–1240 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  6. E. H. Khalilov, “Justification of the collocation method for the integral equation for a mixed boundary value problem for the Helmholtz equation,” Comput. Math. Math. Phys. 56, No. 7, 1310–1318 (2016).

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Azerbaijan State Oil and Industry University, 20, Azadlig av., 1010, Baku, Azerbaijan

    E. H. Khalilov

Authors
  1. E. H. Khalilov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. H. Khalilov.

Additional information

Translated from Sibirskii Zhurnal Chistoi i Prikladnoi Matematiki 17, No. 1, 2017, pp. 78-90.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khalilov, E.H. Properties of the Operator Generated by the Derivative of the Acoustic Single Layer Potential. J Math Sci 231, 168–180 (2018). https://doi.org/10.1007/s10958-018-3813-1

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10958-018-3813-1

Search

Navigation