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Ufa Mathematical Journal, 2017, Volume 9, Issue 1, Pages 62–74
DOI: https://doi.org/10.13108/2017-9-1-62 (Mi ufa366) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Determination of parameters in telegraph equation

A. I. Kozhanov, R. R. Safiullova

Sobolev Institute of Mathematics, SB RAS, Acad. Koptyug av. 4, 630090, Novosibirsk, Russia
English version PDF (350 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.13108/2017-9-1-62
Abstract: We study the solvability of the inverse problems on finding a solution $u(x,t)$ and an unknown coefficient $c$ for a telegraph equation
$$ u_{tt}-\Delta u +cu=f(x,t). $$
We prove the theorems on the existence of the regular solutions. The feature of the problems is a presence of new overdetermination conditions for the considered class of equations.
Keywords: telegraph equation, unknown coefficient, inverse problems, special type integral overdetermination, regular solutions, existence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06582
The work is supported by Russian Science Foundation (project no. 15-01-06582).
Received: 14.02.2016
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35R30,35L20
Language: English
Original paper language: Russian
Citation: A. I. Kozhanov, R. R. Safiullova, “Determination of parameters in telegraph equation”, Ufa Math. J., 9:1 (2017), 62–74
Citation in format AMSBIB
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\by A.~I.~Kozhanov, R.~R.~Safiullova
\paper Determination of parameters in telegraph equation
\jour Ufa Math. J.
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\vol 9
\issue 1
\pages 62--74
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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