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Journal of Siberian Federal University. Mathematics & Physics, 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
Full-text PDF (178 kB) Citations (2)
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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.
Received: 21.07.2011
Received in revised form: 15.09.2011
Accepted: 15.10.2011
Document Type: Article
UDC: 517.9
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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