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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 516, Pages 26–30
DOI: https://doi.org/10.31857/S2686954324020052 (Mi danma509) 		 
MATHEMATICS

Generalized solution of a mixed problem for the wave equation with a nonsmooth right-hand side

I. S. Lomov

Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954324020052
Abstract: A generalized solution of a mixed problem for the wave equation is constructed under minimal conditions on the right side of the equation. The solution is represented as a series from the Fourier method, and its sum is found. The form of a generalized solution of a mixed problem for an inhomogeneous telegraph equation is given.
Keywords: wave equation, telegraph equation, Fourier method, Cauchy–Poincaré method.
Funding agency Grant number
Moscow Center of Fundamental and Applied Mathematics 075-15-2022-284
This work was supported by the Ministry of Science and Higher Education of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics, agreement no. 075-15-2022-284.
Presented: I. A. Sokolov
Received: 02.10.2023
Revised: 09.02.2024
Accepted: 09.02.2024
English version:
Doklady Mathematics, 2024, Volume 109, Issue 2, Pages 121–124
DOI: https://doi.org/10.1134/S1064562424701898
Bibliographic databases:
Document Type: Article
UDC: 517.956.32+517.984
Language: Russian
Citation: I. S. Lomov, “Generalized solution of a mixed problem for the wave equation with a nonsmooth right-hand side”, Dokl. RAN. Math. Inf. Proc. Upr., 516 (2024), 26–30; Dokl. Math., 109:2 (2024), 121–124
Citation in format AMSBIB
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\by I.~S.~Lomov
\paper Generalized solution of a mixed problem for the wave equation with a nonsmooth right-hand side
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 516
\pages 26--30
\mathnet{http://mi.mathnet.ru/danma509}
\crossref{https://doi.org/10.31857/S2686954324020052}
\elib{https://elibrary.ru/item.asp?id=68623161}
\transl
\jour Dokl. Math.
\yr 2024
\vol 109
\issue 2
\pages 121--124
\crossref{https://doi.org/10.1134/S1064562424701898}
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