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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 2, Pages 17–28
DOI: https://doi.org/10.17377/sibjim.2016.19.202 (Mi sjim917) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Finding the coefficients of a linear elliptic equation

R. A. Aliev

Azerbaijan Cooperation University, 8v Narimanov str., AZ1106 Baku, Azerbaijan
Full-text PDF (238 kB) Citations (1)
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DOI: https://doi.org/10.17377/sibjim.2016.19.202
Abstract: We study the inverse problems of finding the coefficients of a linear elliptic equation for various boundary conditions in a prescribed rectangle. Existence, uniqueness, and stability theorems are proved for solutions to the inverse problems for the particular statements studied in the paper. An iterative method is employed to construct a regularization algorithm for solving the inverse problems.
Keywords: inversion problem, elliptic equation.
Received: 16.09.2015
Revised: 25.01.2016
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 2, Pages 168–178
DOI: https://doi.org/10.1134/S1990478916020022
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: R. A. Aliev, “Finding the coefficients of a linear elliptic equation”, Sib. Zh. Ind. Mat., 19:2 (2016), 17–28; J. Appl. Industr. Math., 10:2 (2016), 168–178
Citation in format AMSBIB
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\paper Finding the coefficients of a~linear elliptic equation
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\jour J. Appl. Industr. Math.
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  • https://www.mathnet.ru/eng/sjim917
  • https://www.mathnet.ru/eng/sjim/v19/i2/p17
    • This publication is cited in the following 1 articles:
    1. S. B. Sorokin, “Direct method for solving the inverse coefficient problem for elliptic equation with piecewise constant coefficients”, J. Appl. Industr. Math., 15:2 (2021), 331–342  mathnet  mathnet  crossref  crossref  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    Full-text PDF :113
    References:88
    First page:22
     
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