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 J. Sib. Fed. Univ. Math. Phys., 2013, Volume 6, Issue 2, Pages 186–199 (Mi jsfu310)

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.

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UDC: 517.9
Accepted: 28.01.2013
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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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This publication is cited in the following articles:
1. 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
2. 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
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