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Sibirsk. Mat. Zh., 2017, Volume 58, Number 1, Pages 199–205 (Mi smj2852)  

This article is cited in 22 scientific papers (total in 22 papers)

Representation of the Green's function of the exterior Neumann problem for the Laplace operator

M. A. Sadybekova, B. T. Torebekab, B. Kh. Turmetovc

a Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
b Al-Farabi Kazakhstan National University, Almaty, Kazakhstan
c Ahmet Yesevi University, Turkistan, Kazakhstan

Abstract: We represent the Green's function of the classical Neumann problem for the exterior of the unit ball of arbitrary dimension. We show that the Green's function can be expressed through elementary functions. The explicit form of the function is written out.

Keywords: Poisson equation, Laplace operator, exterior Neumann problem, fundamental solution, Green's function.

Funding Agency Grant Number
Ministry of Education and Science of the Republic of Kazakhstan 0824/ГФ4
The authors were supported by the Scientific Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant 0824/GF4).


DOI: https://doi.org/10.17377/smzh.2017.58.119

Full text: PDF file (255 kB)
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English version:
Siberian Mathematical Journal, 2017, 58:1, 153–158

Bibliographic databases:

UDC: 517.956.225
Received: 08.07.2015

Citation: M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Representation of the Green's function of the exterior Neumann problem for the Laplace operator”, Sibirsk. Mat. Zh., 58:1 (2017), 199–205; Siberian Math. J., 58:1 (2017), 153–158

Citation in format AMSBIB
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\paper Representation of the Green's function of the exterior Neumann problem for the Laplace operator
\jour Sibirsk. Mat. Zh.
\yr 2017
\vol 58
\issue 1
\pages 199--205
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    2. Dildabek G. Sadybekov M.A. Saprygina M.B., “On a Volterra Property of An Problem of the Frankl Type For An Equation of the Mixed Parabolic-Hyperbolic Type”, Proceedings of the 43rd International Conference Applications of Mathematics in Engineering and Economics, AMEE'17, 1910, eds. Pasheva V., Popivanov N., Venkov G., Amer. Inst. Physics, 2017, UNSP 040004  crossref  isi  scopus
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  • Сибирский математический журнал Siberian Mathematical Journal
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