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Journal of Siberian Federal University. Mathematics & Physics, 2010, Volume 3, Issue 4, Pages 487–499
(Mi jsfu147)
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This article is cited in 3 scientific papers (total in 3 papers)
An identification problem of source function for one semievolutionary system
Yuri Ya. Belov Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Abstract:
An identification problem of source function for the semievolutionary system of two partial differential equations, one of which is parabolic, and the second – elliptic are investigated. The Cauchy problem and the first boundary-value problem are considered. Initial problems are approximated by problems in which the elliptic equation is replaced with the parabolic equation containing the small parameter $\varepsilon>0$ at a derivative with respect to time.
Keywords:
partial differential equations, boundary-value problems, approximation, small parameter, convergence.
Received: 18.06.2010 Received in revised form: 25.07.2010 Accepted: 10.08.2010
Citation:
Yuri Ya. Belov, “An identification problem of source function for one semievolutionary system”, J. Sib. Fed. Univ. Math. Phys., 3:4 (2010), 487–499
Linking options:
https://www.mathnet.ru/eng/jsfu147 https://www.mathnet.ru/eng/jsfu/v3/i4/p487
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Abstract page: | 400 | Full-text PDF : | 114 | References: | 88 |
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