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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 11, Pages 73–79 (Mi ivm9054)  
Integral representation of a solution to three-dimensional elliptic equation with strong degeneration

G. Z. Khabibullinaa, S. V. Makletsovb, R. M. Mavlyavievc

a Chair of Theory and Principles of Physics and Information Science Teaching, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
b Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
c Chair of Higher Mathematics and Mathematical Modeling, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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Abstract: In a three-dimentional Euclidean space we consider an elliptic equation with strong degeneration. We derive the first and the second Green formula. We also construct a fundamental solution to the equation and obtain an integral representation of its solution.
Keywords: degenerate elliptic equations, fundamental solution, integral representation of the solution.
Received: 17.04.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 11, Pages 62–67
DOI: https://doi.org/10.3103/S1066369X15110079
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: G. Z. Khabibullina, S. V. Makletsov, R. M. Mavlyaviev, “Integral representation of a solution to three-dimensional elliptic equation with strong degeneration”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 11, 73–79; Russian Math. (Iz. VUZ), 59:11 (2015), 62–67
Citation in format AMSBIB
\Bibitem{KhaMakMav15}
\by G.~Z.~Khabibullina, S.~V.~Makletsov, R.~M.~Mavlyaviev
\paper Integral representation of a~solution to three-dimensional elliptic equation with strong degeneration
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 11
\pages 73--79
\mathnet{http://mi.mathnet.ru/ivm9054}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 11
\pages 62--67
\crossref{https://doi.org/10.3103/S1066369X15110079}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84945178636}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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