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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 647–666 (Mi zvmmf486)  
This article is cited in 9 scientific papers (total in 9 papers)

Inverse coefficient problem for a quasilinear hyperbolic equation with final overdetermination

A. Yu. Shcheglov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1938 kB) Citations (9)
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Abstract: The inverse problem of recovering a solution-dependent coefficient multiplying the lowest derivative in a hyperbolic equation is investigated. As overdetermination is required in the inverse problem, an additional condition is imposed on the solution to the equation with a fixed value of the timelike variable. Global uniqueness and local existence theorems are proved for the solution to the inverse problem. An iterative method is proposed for solving the inverse problem.
Key words: quasi-linear hyperbolic equations, inverse coefficient problem, iterative method, numerical solution.
Received: 24.12.2003
Revised: 10.11.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 4, Pages 616–635
DOI: https://doi.org/10.1134/S0965542506040099
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: A. Yu. Shcheglov, “Inverse coefficient problem for a quasilinear hyperbolic equation with final overdetermination”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 647–666; Comput. Math. Math. Phys., 46:4 (2006), 616–635
Citation in format AMSBIB
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\by A.~Yu.~Shcheglov
\paper Inverse coefficient problem for a~quasilinear hyperbolic equation with final overdetermination
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 4
\pages 647--666
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\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2260355}
\zmath{https://zbmath.org/?q=an:05200934}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 4
\pages 616--635
\crossref{https://doi.org/10.1134/S0965542506040099}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746043717}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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