Skip to main content
Log in

Regularization of a solution to the cauchy problem for the system of equations of elasticity in displacements

  • Published:
Siberian Mathematical Journal 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. M. M. Lavrent’ev, “On the Cauchy problem for the Laplace equation,” Izv. Akad. Nauk SSSR Mat.,20, No. 6, 819–842 (1956).

    MATH  Google Scholar 

  2. M. M. Lavrent’ev, “On the Cauchy problem for elliptic equations of second order,” Dokl. Akad. Nauk SSSR,112, No. 2, 195–197 (1997).

    Google Scholar 

  3. S. N. Mergelyan, “Harmonic approximation and approximate solution of the Cauchy problem for the Laplace equation,” Uspekhi Mat. Nauk,11, No. 5, 3–26 (1956).

    Google Scholar 

  4. Sh. Ya. Yarmukhamedov, “On the Cauchy problem for Laplace’s equation,” Mat. Zametki,18, No. 1, 57–61 (1975).

    MATH  Google Scholar 

  5. Sh. Ya. Yarmukhamedov, “On the Cauchy problem for Laplace’s equation,” Dokl. Akad. Nauk SSSR,235, No. 2, 281–283 (1977).

    Google Scholar 

  6. V. K. Ivanov, “Cauchy problem for the Laplace equation in an infinite strip,” Differentsial’nye Uravneniya,1, No. 1, 131–136 (1965).

    Google Scholar 

  7. V. D. Kupradze, T. G. Gegelia, T. V. Burchuladze, and M. O. Basheleîshvili, Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity. Classical and Micropolar Theory. Statics, Harmonic Oscillations, Dynamics. Foundations and Methods of Solution [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  8. A. N. Tikhonov, “On the solution of ill-posed problems and the regularization method,” Dokl. Akad. Nauk,151, No. 3, 501–504 (1963).

    Google Scholar 

  9. L. A. Aîzenberg, and N. N. Tarkhanov, “An abstract Carleman formula,” Dokl. Akad. Nauk SSSR,298, No. 6, 1292–1296 (1988).

    Google Scholar 

  10. N. N. Tarkhanov, “The Carleman matrix for elliptic systems,” Dokl. Akad. Nauk SSSR,284, No. 2, 294–297 (1985).

    Google Scholar 

  11. O. I. Makhmudov, “The Cauchy problem for a system of equations in the theory of elasticity in displacements,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 1, 54–61 (1994).

    Google Scholar 

  12. M. M. Dzharbashyan, Integral Transformations and Representations of Functions in a Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

Download references

Authors

Additional information

Samarkand. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 2, pp. 369–376, March–April, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Makhmudov, O.I., Niezov, I.È. Regularization of a solution to the cauchy problem for the system of equations of elasticity in displacements. Sib Math J 39, 323–330 (1998). https://doi.org/10.1007/BF02677516

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02677516

Keywords

Navigation