STABILITY ESTIMATION OF A SOLUTION IN ONE INTERNAL PROBLEM FOR THE LAPLACE EQUATION

Authors

  • K. Azimov Jizzakh Polytechnic Institute, Department of Higher Mathematics

DOI:

https://doi.org/10.17605/OSF.IO/RVSFD

Keywords:

Internal problems, boundary value problems, non-correct problems, harmonic, analytical continuation

Abstract

Internal problems for Laplace equation are non-correct problems, that have important theoretical and applied values. This article provides  an estimate for the analytical continuation of stability in solving one internal problem for the Laplace equation.

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References

Lavrent'ev M.M., Romanov V.G., Shishatskiy S.P., Ill-posed problems of mathematical physics and analysis. M. Science, 1980

Abdukarimov A. Uniqueness and stability of problems on the continuation of solutions of elliptic and parabolic equations from discrete sets. Cand. diss. Novosibirsk. 1983

Natanson I.M. Constructive theory of functions., - L., GITL, 1949

Soliyev E.A., Azimov K., Uzakov M.M. "Estimation of internal stability for the Laplace equation". Urgench State University, 2012, Proceedings of the Republican Scientific Conference. Thesis, pp. 213-214

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Published

2020-09-07

How to Cite

[1]
K. Azimov, “STABILITY ESTIMATION OF A SOLUTION IN ONE INTERNAL PROBLEM FOR THE LAPLACE EQUATION”, IEJRD - International Multidisciplinary Journal, vol. 5, no. 5, p. 4, Sep. 2020.

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