THE SPECTRAL DECOMPOSITION OF CAUCHY PROBLEM’S SOLUTION FOR LAPLACE EQUATION-Reference-Cited by-同舟云学术

THE SPECTRAL DECOMPOSITION OF CAUCHY PROBLEM’S SOLUTION FOR LAPLACE EQUATION

Published:2018-10-15 Issue: Volume: Page:75-87
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Container-title:PHYSICO-MATHEMATICAL SERIES
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Author:

A. А. Shaldanbaeva ,M.I. Akylbayev ,A. Sh. Shaldanbaev ,A.Zh. Beisebaeva

Abstract

The spectral decomposition of Cauchy problem for Laplace equation is obtained in Krein space, and is made a regularization of a problem, using the resolvent of the corresponding operator.

Publisher

National Academy of Sciences of the Republic of Kazakshtan

Reference19 articles.

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2. [2] L.A. Chudov, Di_erence methods for solutions of the Cauchy problem for the Laplace equation. DokladyAkademiiNauk SSSR. 143:4 (1962), 798_801.(in Russian)

3. [3] P.N. Vabishchevich, Solution of the Cauchy problem for the Laplace equation in a doubly-connected domain. DokladyAkademiiNauk SSSR. 241:6 (1978), 1257_1260. (in Russian)

4. [4] A.I.Tikhonov, V.Y.Arsenin, Methods for solving ill-posed problems. Moscow: Nauka, 1986.(in Russian)

5. [5] P.N. Vabishchevich, V.V.Glasko, Yu.A. Kriksin, Solution of the Hadamard problem by means of regularizing Tikhonov algorithm. Journal of Computational Mathematics and Mathematical Physics. 19:6 (1979). 1462_1470.(in Russian)

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