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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2013, Volume 155, Book 4, Pages 5–15 (Mi uzku1236)  
This article is cited in 2 scientific papers (total in 2 papers)

The solution of the basic boundary value problems for a singular elliptic equation by the method of potentials

R. M. Askhatov

Institute of Computer Mathematics and Information Technologies, Kazan (Volga Region) Federal University, Kazan, Russia
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Abstract: We have found fundamental solutions to a singular elliptic equation, expressed via hypergeometric functions. Using these fundamental solutions, we have built the simple and double layer potentials. We have reduced the basic boundary value problems for a singular elliptic equation to the equivalent Fredholm integral equations of the second kind and proved their solvability.
Keywords: fundamental solutions, simple and double layer potentials, boundary value problems, Fredholm integral equations, generalized shift operator.
Received: 15.10.2013
Document Type: Article
UDC: 517.95
Language: Russian
Citation: R. M. Askhatov, “The solution of the basic boundary value problems for a singular elliptic equation by the method of potentials”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 155, no. 4, Kazan University, Kazan, 2013, 5–15
Citation in format AMSBIB
\Bibitem{Ask13}
\by R.~M.~Askhatov
\paper The solution of the basic boundary value problems for a~singular elliptic equation by the method of potentials
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2013
\vol 155
\issue 4
\pages 5--15
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1236}
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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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