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Matematicheskie Zametki, 2019, Volume 106, Issue 2, Pages 248–261
DOI: https://doi.org/10.4213/mzm12164 (Mi mzm12164) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation

V. L. Kamynin

National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (572 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm12164
Abstract: Existence and uniqueness theorems for the solution of the inverse problem of simultaneous determination of $x$-dependent coefficients at $u$ and $u_x$ in a nondivergent parabolic equation from integral observation are obtained. Estimates of the maximum absolute values of these coefficients with constants explicitly expressed via the input data of the problem are given. An example of an inverse problem to which the proved theorems apply is presented.
Keywords: inverse problems, integral observation, parabolic equations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.а03.21.0005
This work was supported by the Program for the Enhancement of Competitiveness of National Research Nuclear University MEPhI (grant no. 02.a03.21.0005 of August 27, 2013).
Received: 28.08.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 2, Pages 235–247
DOI: https://doi.org/10.1134/S0001434619070277
Bibliographic databases:
Document Type: Article
UDC: 517.95
PACS: 02.30.Zz
Language: Russian
Citation: V. L. Kamynin, “The Inverse Problem of Simultaneous Determination of the Two Lower Space-Dependent Coefficients in a Parabolic Equation”, Mat. Zametki, 106:2 (2019), 248–261; Math. Notes, 106:2 (2019), 235–247
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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