Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 212, Pages 113–119
DOI: https://doi.org/10.36535/0233-6723-2022-212-113-119 (Mi into1040) 		 
On hyperbolic approximation of the problem of determining a source function

O. N. Cherepanova

Siberian Federal University, Krasnoyarsk
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DOI: https://doi.org/10.36535/0233-6723-2022-212-113-119
Abstract: The paper considers the unique solvability of the problem of determining source function in a hyperbolic heat equation with a small parameter as a coefficient to the second time derivative.
Keywords: problem of coefficient identification, inverse problem, partial differential equation, equation with a small parameter.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1388
The work was supported by the Krasnoyarsk Mathematical Center funded by the Ministry of Education and Science of the Russian Federation within the program of the development of regional scientific and educational mathematical centers (agreement 075-02-2021-1388).
Document Type: Article
UDC: 517.9
MSC: 39A14
Language: Russian
Citation: O. N. Cherepanova, “On hyperbolic approximation of the problem of determining a source function”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 212, VINITI, Moscow, 2022, 113–119
Citation in format AMSBIB
\Bibitem{Che22}
\by O.~N.~Cherepanova
\paper On hyperbolic approximation of the problem of determining a source function
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 212
\pages 113--119
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1040}
\crossref{https://doi.org/10.36535/0233-6723-2022-212-113-119}
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