Skip to main content
SpringerLink
Log in

On an integral representation of the Neumann—Tricomi problem for the Lavrent’ev–Bitsadze equation

  • Partial differential equations
  • Published:
Differential Equations Aims and scope Submit manuscript

Abstract

We use the spectral method to prove the existence and uniqueness of a regular solution of the Neumann—Tricomi problem for the Lavrent’ev—Bitsadze equation in a half-strip. The Frankl condition is posed on the type change line of the equation. We obtain a closed-form integral representation of the solution of this problem.

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. Bitsadze, A.V., Nekotorye klassy uravnenii v chastnykh proizvodnykh (Some Classes of Partial Differential Equations), Moscow: Nauka, 1981.

    Google Scholar 

  2. Moiseev, T.E., A Mean Value Formula for a Harmonic Function in a Circular Sector, Dokl. Akad. Nauk, 2010, vol. 432, no. 5, pp. 592–593.

    MathSciNet  Google Scholar 

  3. Moiseev, E.I., On the Basis Property of a System of Sines, Differ. Uravn., 1987, vol. 23, no. 1, pp. 177–189.

    MATH  MathSciNet  Google Scholar 

  4. Moiseev, E.I., Some Boundary Value Problems for Equation of Mixed Type, Differ. Uravn., 1992, vol. 28, no. 1, pp. 110–120.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    E. I. Moiseev, T. E. Moiseev & G. O. Vafodorova

  2. Russia Dorodnicyn Computing Center of the Russian Academy of Sciences, Moscow, Russia

    E. I. Moiseev, T. E. Moiseev & G. O. Vafodorova

  3. The Russian Customs Academy, Moscow, Russia

    E. I. Moiseev, T. E. Moiseev & G. O. Vafodorova

Authors
  1. E. I. Moiseev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. E. Moiseev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. O. Vafodorova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. I. Moiseev.

Additional information

Original Russian Text © E.I. Moiseev, T.E. Moiseev, G.O. Vafodorova, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 8, pp. 1070–1075.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moiseev, E.I., Moiseev, T.E. & Vafodorova, G.O. On an integral representation of the Neumann—Tricomi problem for the Lavrent’ev–Bitsadze equation. Diff Equat 51, 1065–1071 (2015). https://doi.org/10.1134/S0012266115080108

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0012266115080108

Keywords

Search

Navigation