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Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 3, Pages 98–102
DOI: https://doi.org/10.17377/PAM.2016.16.309 (Mi vngu414) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solution of boundary value problems in cylinders with a two-layer film inclusion

S. E. Kholodovskii

Zabaikalsky State University, Chita
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DOI: https://doi.org/10.17377/PAM.2016.16.309
Abstract: We consider a class of boundary value problems (elliptic, parabolic and hyperbolic equations) in cylinders, separated by double-layer film on two half cylinder. The film consists of infinitely thin strongly and weakly permeable layers. A theorem of existence and uniqueness. Formulas expressing the solutions to these problems through the solutions of the analogous classical problems in homogeneous cylinders without film are derived.
Keywords: boundary value problems, generalized transmission conditions, the inclusion of a two-layer film, the method of convolution of Fourier expansions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2014/255 НИР 2603.14
Received: 03.11.2015
English version:
Journal of Mathematical Sciences, 2018, Volume 230, Issue 1, Pages 55–59
DOI: https://doi.org/10.1007/s10958-018-3726-z
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. E. Kholodovskii, “Solution of boundary value problems in cylinders with a two-layer film inclusion”, Sib. J. Pure and Appl. Math., 16:3 (2016), 98–102; J. Math. Sci., 230:1 (2018), 55–59
Citation in format AMSBIB
\Bibitem{Kho16}
\by S.~E.~Kholodovskii
\paper Solution of boundary value problems in cylinders with a two-layer film inclusion
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 3
\pages 98--102
\mathnet{http://mi.mathnet.ru/vngu414}
\crossref{https://doi.org/10.17377/PAM.2016.16.309}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 1
\pages 55--59
\crossref{https://doi.org/10.1007/s10958-018-3726-z}
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