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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 4, Pages 556–564
(Mi jsfu154)
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This article is cited in 10 scientific papers (total in 10 papers)
An identification problem of the source function of the special form in two-dimensional parabolic equation
Igor V. Frolenkov, Ekaterina N. Kriger Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
The existence, uniqueness and stability of solution by input data of the identification problem for parabolic equation with source function of the special form in the case of Cauchy's data has been proved in this article.
Keywords:
problem of the identification of source function, inverse problem, equations in partial derivatives, method of weak approximation, solution stability.
Received: 18.07.2010 Received in revised form: 25.08.2010 Accepted: 10.09.2010
Citation:
Igor V. Frolenkov, Ekaterina N. Kriger, “An identification problem of the source function of the special form in two-dimensional parabolic equation”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 556–564
Linking options:
https://www.mathnet.ru/eng/jsfu154 https://www.mathnet.ru/eng/jsfu/v3/i4/p556
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