STABILITY ESTIMATION OF A SOLUTION IN ONE INTERNAL PROBLEM FOR THE LAPLACE EQUATION
DOI:
https://doi.org/10.17605/OSF.IO/RVSFDKeywords:
Internal problems, boundary value problems, non-correct problems, harmonic, analytical continuationAbstract
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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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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