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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 1, Pages 199–205
DOI: https://doi.org/10.17377/smzh.2017.58.119 (Mi smj2852) 		 
This article is cited in 31 scientific papers (total in 31 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
Full-text PDF (255 kB) Citations (31)
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DOI: https://doi.org/10.17377/smzh.2017.58.119
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).
Received: 08.07.2015
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 1, Pages 153–158
DOI: https://doi.org/10.1134/S0037446617010190
Bibliographic databases:
Document Type: Article
UDC: 517.956.225
Language: Russian
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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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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