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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 503, Pages 67–69
DOI: https://doi.org/10.31857/S2686954322020138 (Mi danma252) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Classical solutions of the first boundary value problem for parabolic systems on the plane

A. N. Konenkov

Ryazan State University S. A. Esenin, Ryazan, Russia
Citations (3)
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DOI: https://doi.org/10.31857/S2686954322020138
Abstract: The first boundary value problem for a second-order parabolic system with one spatial variable in a domain with nonsmooth lateral boundaries is considered. The domain can be bounded or semi-bounded. The coefficients of the system depend only on the spatial variable and satisfy the Hölder condition. The initial and boundary functions are assumed to be continuous and bounded. The existence and uniqueness of a classical solution of this problem is established.
Keywords: parabolic system, first boundary value problem, nonsmooth lateral boundary, classical solution.
Presented: E. I. Moiseev
Received: 19.01.2022
Revised: 19.01.2022
Accepted: 22.01.2022
English version:
Doklady Mathematics, 2022, Volume 105, Issue 2, Pages 109–111
DOI: https://doi.org/10.1134/S1064562422020132
Bibliographic databases:
Document Type: Article
UDC: 517.956.4
Language: Russian
Citation: A. N. Konenkov, “Classical solutions of the first boundary value problem for parabolic systems on the plane”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 67–69; Dokl. Math., 105:2 (2022), 109–111
Citation in format AMSBIB
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\jour Dokl. Math.
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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