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Journal of Siberian Federal University. Mathematics & Physics, 2014, Volume 7, Issue 1, Pages 100–111
(Mi jsfu352)
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This article is cited in 1 scientific paper (total in 1 paper)
A representation of solution of the identification problem of the coefficients at second order operator in the multi-dimensional parabolic equations system
Galina V. Romanenko Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny 79, Krasnoyarsk, 660041 Russia
Abstract:
An identification problem of the coefficients at differential operator of second order and sum of lowest terms in system of multidimensional parabolic equations with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems have been proved. The method of weak approximation is used to the proof existence of solutions.
Keywords:
inverse problem, identification problem, method of weak approximation, system of equations in partial derivatives, existence and uniqueness of the solution.
Received: 10.10.2013 Received in revised form: 19.11.2013 Accepted: 22.12.2013
Citation:
Galina V. Romanenko, “A representation of solution of the identification problem of the coefficients at second order operator in the multi-dimensional parabolic equations system”, J. Sib. Fed. Univ. Math. Phys., 7:1 (2014), 100–111
Linking options:
https://www.mathnet.ru/eng/jsfu352 https://www.mathnet.ru/eng/jsfu/v7/i1/p100
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Abstract page: | 272 | Full-text PDF : | 85 | References: | 56 |
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