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J. Sib. Fed. Univ. Math. Phys., 2012, Volume 5, Issue 1, Pages 122–131 (Mi jsfu229)  

This article is cited in 2 scientific papers (total in 2 papers)

An representation of the solution of the inverse problem for a multidimensional parabolic equation with initial data in the form of a product

Igor V. Frolenkov, Galina V. Romanenko

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: An identification problem of the coefficient at differential operator of second order in multidimensional parabolic equation with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems has been proved.

Keywords: inverse problem, identification problem, method of weak approximation, equations in partial derivatives, existence and uniqueness of the solution.

Full text: PDF file (178 kB)
References: PDF file   HTML file
UDC: 517.9
Received: 21.07.2011
Received in revised form: 15.09.2011
Accepted: 15.10.2011

Citation: Igor V. Frolenkov, Galina V. Romanenko, “An representation of the solution of the inverse problem for a multidimensional parabolic equation with initial data in the form of a product”, J. Sib. Fed. Univ. Math. Phys., 5:1 (2012), 122–131

Citation in format AMSBIB
\Bibitem{FroRom12}
\by Igor~V.~Frolenkov, Galina~V.~Romanenko
\paper An representation of the solution of the inverse problem for a~multidimensional parabolic equation with initial data in the form of a~product
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 1
\pages 122--131
\mathnet{http://mi.mathnet.ru/jsfu229}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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”, Zhurn. SFU. Ser. Matem. i fiz., 6:2 (2013), 186–199  mathnet
    2. O. V. Soboleva, R. V. Brizitskii, “Numerical study of the inverse problem for the diffusion-reaction equation using optimization method”, International Conference on Mechanical Engineering, Automation and Control Systems 2015 (Meacs2015), IOP Conference Series-Materials Science and Engineering, 124, IOP Publishing Ltd, 2016, UNSP 012096  crossref  isi  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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