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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 7, Pages 1183–1195
DOI: https://doi.org/10.7868/S0044466915070054 (Mi zvmmf10236) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients

T. I. Bukharova, V. L. Kamynin

National Research Nuclear University MEPhI, Kashirskoe shosse 31, Moscow, 115409, Russia
Full-text PDF (271 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466915070054
Abstract: The inverse problem of reconstructing the absorption coefficient (from $L_2$) in the multidimensional heat equation under an additional integral observation condition is studied. It is assumed that the minor coefficients belong to the Lebesgue space. For the solution to the inverse problem, sufficient conditions for existence, uniqueness, and stability to perturbations of input data are established. These conditions are formulated in the form of easy-to-check inequalities.
Key words: coefficient inverse problem, parabolic equations, integral observation condition, conditions for the existence and uniqueness of solution, stability of solution.
Received: 01.12.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 7, Pages 1164–1176
DOI: https://doi.org/10.1134/S0965542515070052
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: T. I. Bukharova, V. L. Kamynin, “Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015), 1183–1195; Comput. Math. Math. Phys., 55:7 (2015), 1164–1176
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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