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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 5, Pages 744–752
DOI: https://doi.org/10.7868/S0044466913050049 (Mi zvmmf9855) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative

A. M. Denisov

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (194 kB) Citations (14)
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DOI: https://doi.org/10.7868/S0044466913050049
Abstract: Two inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative are considered. The existence and uniqueness of their solutions are proved. As the small parameter tends to zero, the solutions of the inverse problems are proved to converge to solutions of inverse problems for a parabolic equation.
Key words: inverse problem, hyperbolic equation, small parameter, parabolic equation, asymptotic expansion.
Received: 06.12.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 5, Pages 580–587
DOI: https://doi.org/10.1134/S0965542513050047
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: A. M. Denisov, “Asymptotic expansions of solutions to inverse problems for a hyperbolic equation with a small parameter multiplying the highest derivative”, Zh. Vychisl. Mat. Mat. Fiz., 53:5 (2013), 744–752; Comput. Math. Math. Phys., 53:5 (2013), 580–587
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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