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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, Volume 15, Issue 4, Pages 365–371
DOI: https://doi.org/10.18500/1816-9791-2015-15-4-365-371
(Mi isu604)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Correctness of the local boundary value problem in a cylindrical domain for Laplace's many-dimensional equation

S. A. Aldashev

Kazakh National Pedagogical University, 114, prosp. Dostyk, 480100, Almaty, Kazakhstan
Full-text PDF (234 kB) Citations (2)
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Abstract: Correctness of boundary problems in the plane for elliptic equations is well analyzed by analitic function theory of complex variable.
There appear principal difficulties in similar problems when the number of independent variables is more than two. An attractive and suitable method of singular integral equations is less strong because of lock of any complete theory of multidimensional singular integral equations.
In the paper, using authors early methods we prove a unique solvability of the local boundary value problem in the cylindric domain for a Laplace's many-dimensional equation which is a generalization of the Dirichlet and Poincare problems. besides, the criterion of uniqueness of the regular solution is obtained.
Key words: many-dimensional equation, local problem, domain, Bessel's function.
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. A. Aldashev, “Correctness of the local boundary value problem in a cylindrical domain for Laplace's many-dimensional equation”, Izv. Saratov Univ. Math. Mech. Inform., 15:4 (2015), 365–371
Citation in format AMSBIB
\Bibitem{Ald15}
\by S.~A.~Aldashev
\paper Correctness of the local boundary value problem in a cylindrical domain for Laplace's many-dimensional equation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2015
\vol 15
\issue 4
\pages 365--371
\mathnet{http://mi.mathnet.ru/isu604}
\crossref{https://doi.org/10.18500/1816-9791-2015-15-4-365-371}
\elib{https://elibrary.ru/item.asp?id=25360652}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    References:84
     
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