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Journal of Siberian Federal University. Mathematics & Physics, 2013, Volume 6, Issue 2, Pages 186–199
(Mi jsfu310)
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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
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
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
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https://www.mathnet.ru/eng/jsfu310 https://www.mathnet.ru/eng/jsfu/v6/i2/p186
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Abstract page: | 287 | Full-text PDF : | 99 | References: | 53 |
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