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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 832–841
DOI: https://doi.org/10.7868/S0044466917050040 (Mi zvmmf10573) 		 
This article is cited in 19 scientific papers (total in 19 papers)

Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients

V. L. Kamynin

National Research Nuclear University MEPhI, Moscow, Russia
Full-text PDF (163 kB) Citations (19)
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DOI: https://doi.org/10.7868/S0044466917050040
Abstract: Uniqueness and existence theorems for the solution of the inverse problem for a degenerating parabolic equation with unbounded coefficients on a plane in conditions of integral observations are proven. Estimates of the solution with constants explicitly expresses via the input data of the problem are obtained.
Key words: inverse problems, condition of integral observation, degenerating parabolic equations, unbounded coefficients of equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.а03.21.0005
Received: 03.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 833–842
DOI: https://doi.org/10.1134/S0965542517050049
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. L. Kamynin, “Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 832–841; Comput. Math. Math. Phys., 57:5 (2017), 833–842
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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