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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 6, Pages 1326–1331
DOI: https://doi.org/10.17377/smzh.2015.56.609 (Mi smj2715) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On permeable potential boundary conditions for the Laplace–Beltrami operator

T. Sh. Kal'menov, D. Suragan

Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Full-text PDF (250 kB) Citations (8)
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DOI: https://doi.org/10.17377/smzh.2015.56.609
Abstract: Under study are the so-called permeable potential boundary conditions for the Laplace–Beltrami operator defined in a domain $\Omega$ on the unit sphere $S$ in $\mathbb R^3$. The permeability of boundary conditions means that a solution to a boundary value problem in $\Omega$ coincides with a solution to the Laplace–Beltrami equation on the whole sphere in absence of any boundary conditions.
Keywords: Laplace–Beltrami operator, boundary condition, volume potential, double layer potential.
Received: 08.01.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 6, Pages 1060–1064
DOI: https://doi.org/10.1134/S0037446615060099
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: T. Sh. Kal'menov, D. Suragan, “On permeable potential boundary conditions for the Laplace–Beltrami operator”, Sibirsk. Mat. Zh., 56:6 (2015), 1326–1331; Siberian Math. J., 56:6 (2015), 1060–1064
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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