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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1365–1377 (Mi zvmmf265)  
This article is cited in 19 scientific papers (total in 19 papers)

Source and coefficient inverse problems for an elliptic equation in a rectangle

V. V. Solov'ëv

Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409, Russia
Full-text PDF (1792 kB) Citations (19)
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Abstract: The inverse problems of determining the source and coefficient of an elliptic equation in a rectangle are studied. Additional information on the solution to the direct problem (overdetermination) is the trace of its solution on an interval inside the rectangle. Sufficient existence and uniqueness conditions (global) are derived for the inverse problems. The study is performed in the class of continuously differentiable functions whose derivatives satisfy a Hölder condition.
Key words: inverse problems, elliptic equation.
Received: 17.12.2006
Revised: 26.12.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1310–1322
DOI: https://doi.org/10.1134/S096554250708009X
Bibliographic databases:
Document Type: Article
UDC: 519.633.9
Language: Russian
Citation: V. V. Solov'ëv, “Source and coefficient inverse problems for an elliptic equation in a rectangle”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1365–1377; Comput. Math. Math. Phys., 47:8 (2007), 1310–1322
Citation in format AMSBIB
\Bibitem{Sol07}
\by V.~V.~Solov'\"ev
\paper Source and coefficient inverse problems for an elliptic equation in a~rectangle
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1365--1377
\mathnet{http://mi.mathnet.ru/zvmmf265}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378182}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1310--1322
\crossref{https://doi.org/10.1134/S096554250708009X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548411765}
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:55
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