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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 34–36
DOI: https://doi.org/10.31857/S2686954322010088 (Mi danma234) 		 
This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution

V. B. Levenshtam

Southern Federal University, Rostov-on-Don, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S2686954322010088
Abstract: We consider the Cauchy problem for the one-dimensional hyperbolic equation with the junior term. The junior coefficient and right hand side oscillates in time with a high frequency, the amplitude of the junior coefficient is small. We study the way of reconstraction these oscillating functions using partial asymptotics of the solution, which are given at a certain point of the domain.
Keywords: hyperbolic equation, rapidly oscillating data, asymptotic methods, inverse problem.
Funding agency Grant number
Russian Science Foundation 20-11-20141
The main result of this work (Theorem 2) was obtained under the support of the Russian Science Foundation, project no. 20-11-20141.
Presented: E. I. Moiseev
Received: 07.09.2021
Revised: 07.09.2021
Accepted: 22.12.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 28–30
DOI: https://doi.org/10.1134/S1064562422010082
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. B. Levenshtam, “Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 34–36; Dokl. Math., 105:1 (2022), 28–30
Citation in format AMSBIB
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\by V.~B.~Levenshtam
\paper Hyperbolic equation with rapidly oscillating data. Reconstruction of the small junior coefficient and the right side the partial asymptotics of the solution
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 502
\pages 34--36
\mathnet{http://mi.mathnet.ru/danma234}
\crossref{https://doi.org/10.31857/S2686954322010088}
\elib{https://elibrary.ru/item.asp?id=48050923}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 28--30
\crossref{https://doi.org/10.1134/S1064562422010082}
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    • This publication is cited in the following 2 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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