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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 5–8
DOI: https://doi.org/10.31857/S2686954320050288 (Mi danma106) 		 
This article is cited in 6 scientific papers (total in 6 papers)

MATHEMATICS

Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries

E. A. Baderkoa, M. F. Cherepovab

a Lomonosov Moscow State University, Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
b National Research University "Moscow Power Engineering Institute", Moscow, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320050288
Abstract: We consider initial boundary value problems with boundary conditions of the first or second kind for one-dimensional (with respect to a spatial variable) Petrovskii parabolic systems of the second order with variable coefficients in a bounded domain with nonsmooth lateral boundaries. The uniqueness of regular solutions to these problems in the class of functions that are continuous in the closure of the domain together with their first spatial derivatives is established using the boundary integral equation method.
Keywords: parabolic systems, initial boundary value problems, uniqueness of regular solutions, nonsmooth lateral boundaries.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation FSWF-2020-0022
Cherepova's work was performed under the state assignment of the Ministry of Science and Higher Education of the Russian Federation, project no. FSWF-2020-0022.
Presented: E. I. Moiseev
Received: 10.07.2020
Revised: 10.07.2020
Accepted: 30.07.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 357–359
DOI: https://doi.org/10.1134/S1064562420050269
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: E. A. Baderko, M. F. Cherepova, “Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 5–8; Dokl. Math., 102:2 (2020), 357–359
Citation in format AMSBIB
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\paper Uniqueness of solutions to initial boundary value problems for parabolic systems in plane bounded domains with nonsmooth lateral boundaries
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\transl
\jour Dokl. Math.
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\pages 357--359
\crossref{https://doi.org/10.1134/S1064562420050269}
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    • This publication is cited in the following 6 articles:
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