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Journal of Siberian Federal University. Mathematics & Physics, 2013, Volume 6, Issue 2, Pages 186–199 (Mi jsfu310)  

This article is cited in 4 scientific papers (total in 4 papers)

An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data

Igor V. Frolenkov, Ekaterina N. Kriger

Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (189 kB) Citations (4)
References:
Abstract: The existence and uniqueness of solution of the identification problem for multi-dimensional parabolic equation with source function of the special form in the case of Cauchy's data has been proved in this paper.
Keywords: inverse problem, identification of coefficient at source function, multi-dimensional parabolic equation, method of weak approximation, existence and uniqueness of solution, Cauchy problem.
Received: 28.10.2012
Received in revised form: 28.12.2012
Accepted: 28.01.2013
Document Type: Article
UDC: 517.9
Language: English
Citation: Igor V. Frolenkov, Ekaterina N. Kriger, “An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 6:2 (2013), 186–199
Citation in format AMSBIB
\Bibitem{FroKri13}
\by Igor~V.~Frolenkov, Ekaterina~N.~Kriger
\paper An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2013
\vol 6
\issue 2
\pages 186--199
\mathnet{http://mi.mathnet.ru/jsfu310}
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  • https://www.mathnet.ru/eng/jsfu310
  • https://www.mathnet.ru/eng/jsfu/v6/i2/p186
  • This publication is cited in the following 4 articles:
    1. A. I. Kozhanov, G. V. Namsaraeva, “Solvability analysis of problems of determining external influence of combined type in processes described by parabolic equations”, J. Appl. Industr. Math., 18:2 (2024), 282–293  mathnet  crossref  crossref
    2. Kozhanov A.I., “Hyperbolic Equations With Unknown Coefficients”, Symmetry-Basel, 12:9 (2020), 1539  crossref  isi  scopus
    3. Ekaterina N. Kriger, Igor V. Frolenkov, “An identification problem of nonlinear lowest term coefficient in the special form for two-dimensional semilinear parabolic equation”, Zhurn. SFU. Ser. Matem. i fiz., 9:2 (2016), 180–191  mathnet  crossref
    4. E. N. Kriger, I. V. Frolenkov, “An identification problem of coefficient in the special form at nonlinear lowest term for two-dimensional semilinear parabolic equation with the Cauchy data”, Russian Math. (Iz. VUZ), 59:5 (2015), 17–31  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
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    Abstract page:327
    Full-text PDF :111
    References:70
     
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