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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 3, Pages 413–427
DOI: https://doi.org/10.31857/S004446692103011X (Mi zvmmf11210) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Partial Differential Equations

Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class $L_\infty$

V. L. Kamynin

Moscow Engineering Physics Institute (National Nuclear Research University)
Citations (3)
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DOI: https://doi.org/10.31857/S004446692103011X
Abstract: Existence and uniqueness theorems for solutions of inverse problems of determining the time-dependent absorption coefficient in a degenerate parabolic equation with two independent variables are proved. An integral observation condition is additionally imposed. The unknown absorption coefficient is sought in the class of bounded functions on $[0,T]$. Examples of the inverse problems are given for which the conditions of the theorems proved in the work are satisfied.
Key words: inverse problems, integral observation condition, degenerate parabolic equations with nondivergent principal part.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11. 02.а03.21.0005
This work was supported by the Competitiveness Enhancement Program of the National Research Nuclear University MEPhI, project no. 02.a03.21.0005 of August 27, 2013.
Received: 10.01.2020
Revised: 17.09.2020
Accepted: 18.11.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 3, Pages 388–402
DOI: https://doi.org/10.1134/S0965542521030106
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. L. Kamynin, “Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class $L_\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 413–427; Comput. Math. Math. Phys., 61:3 (2021), 388–402
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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