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Contemporary Mathematics. Fundamental Directions, 2018, Volume 64, Issue 1, Pages 20–36
DOI: https://doi.org/10.22363/2413-3639-2018-64-1-20-36 (Mi cmfd344) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mixed problem for a parabolic system on a plane and boundary integral equations

E. A. Baderkoa, M. F. Cherepovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, 1 Leninskiye Gory, 119991 Moscow GSP-1, Russia
b National Research University "Moscow Power Engineering Institute", 14 Krasnokazarmennaya st., 111250 Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2018-64-1-20-36
Abstract: We consider the mixed problem for a one-dimensional (with respect to the spatial variable) second-order parabolic system with Dini-continuous coefficients in a domain with nonsmooth lateral boundaries. Using the method of boundary integral equations, we find a classical solution of this problem. We investigate the smoothness of solution as well.
Funding agency Grant number
Russian Science Foundation 14-11-00306
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: E. A. Baderko, M. F. Cherepova, “Mixed problem for a parabolic system on a plane and boundary integral equations”, Differential and functional differential equations, CMFD, 64, no. 1, Peoples' Friendship University of Russia, M., 2018, 20–36
Citation in format AMSBIB
\Bibitem{BadChe18}
\by E.~A.~Baderko, M.~F.~Cherepova
\paper Mixed problem for a~parabolic system on a~plane and boundary integral equations
\inbook Differential and functional differential equations
\serial CMFD
\yr 2018
\vol 64
\issue 1
\pages 20--36
\publ Peoples' Friendship University of Russia
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd344}
\crossref{https://doi.org/10.22363/2413-3639-2018-64-1-20-36}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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