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Matematicheskie Zametki, 2023, Volume 114, Issue 4, Pages 602–614
DOI: https://doi.org/10.4213/mzm14024 (Mi mzm14024) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of the Solution of an Initial–Boundary Value Problem for the One-Dimensional Klein–Gordon Equation on the Half-Line

E. S. Smirnova

Immanuel Kant Baltic Federal University, Kaliningrad
Full-text PDF (662 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm14024
Abstract: The initial–boundary value problem for the Klein–Gordon equation on the semiaxis is considered. It is possible to reduce to this problem a one-dimensional system of equations of hydrothermodynamics, which describes the motion of atmospheric gas, in particular, the propagation of plane acoustic waves initiated by a source at the lower boundary of the region. An exact analytical solution is obtained, and its asymptotics is constructed.
Keywords: initial–boundary value problem, Klein–Gordon equation, wave equation, asymptotics.
Funding agency Grant number
Балтийский федеральный университет им. И. Канта 122051300013-8
This work was supported by IKBFU (grant no. 122051300013-8).
Received: 28.08.2022
Revised: 30.03.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 4, Pages 608–618
DOI: https://doi.org/10.1134/S0001434623090286
Bibliographic databases:
Document Type: Article
UDC: 517
PACS: 02.30.Jr, 47.85.Dh
MSC: 35E15, 76Q05
Language: Russian
Citation: E. S. Smirnova, “Asymptotics of the Solution of an Initial–Boundary Value Problem for the One-Dimensional Klein–Gordon Equation on the Half-Line”, Mat. Zametki, 114:4 (2023), 602–614; Math. Notes, 114:4 (2023), 608–618
Citation in format AMSBIB
\Bibitem{Smi23}
\by E.~S.~Smirnova
\paper Asymptotics of the Solution of an Initial--Boundary Value Problem for the One-Dimensional Klein--Gordon Equation on the Half-Line
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 4
\pages 602--614
\mathnet{http://mi.mathnet.ru/mzm14024}
\crossref{https://doi.org/10.4213/mzm14024}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 4
\pages 608--618
\crossref{https://doi.org/10.1134/S0001434623090286}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85174616376}
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    • This publication is cited in the following 1 articles:
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