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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 4, Pages 93–100
DOI: https://doi.org/10.17377/sibjim.2016.19.410 (Mi sjim942) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On determining the source function in heat and mass transfer problems under integral overdetermination conditions

S. G. Pyatkovab, M. V. Uvarovaa

a Yugra State University, 16 Chekhov str., 628012 Khanty-Mansyisk
b Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
Full-text PDF (224 kB) Citations (4)
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DOI: https://doi.org/10.17377/sibjim.2016.19.410
Abstract: We examine an inverse problem of determining the right-hand side (source function) in a parabolic equation from integral overdetermination data. By a solution to a parabolic equation we mean a weak solution, and the right-hand side in this equation can be a distribution of a certain class. Under some conditions on the data of the problem, we demonstrate that this inverse problem is well-posed and, in particular, stability estimates hold.
Keywords: inverse problem, second-order parabolic equation, boundary value problem, integral overdetermination condition, weak solution.
Funding agency Grant number
Russian Foundation for Basic Research 15-41-00063
Government of the Khanty-Mansiysk Autonomous Okrug р_урал_a
Received: 28.12.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 4, Pages 549–555
DOI: https://doi.org/10.1134/S1990478916040116
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, M. V. Uvarova, “On determining the source function in heat and mass transfer problems under integral overdetermination conditions”, Sib. Zh. Ind. Mat., 19:4 (2016), 93–100; J. Appl. Industr. Math., 10:4 (2016), 549–555
Citation in format AMSBIB
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\by S.~G.~Pyatkov, M.~V.~Uvarova
\paper On determining the source function in heat and mass transfer problems under integral overdetermination conditions
\jour Sib. Zh. Ind. Mat.
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\issue 4
\pages 93--100
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\transl
\jour J. Appl. Industr. Math.
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\vol 10
\issue 4
\pages 549--555
\crossref{https://doi.org/10.1134/S1990478916040116}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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