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 J. Sib. Fed. Univ. Math. Phys.: Year: Volume: Issue: Page: Find

 J. Sib. Fed. Univ. Math. Phys., 2011, Volume 4, Issue 4, Pages 445–457 (Mi jsfu203)

An identification problem of source function in the system of composite type

Yury 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.

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UDC: 517.9
Accepted: 10.07.2011

Citation: Yury Ya. Belov, “An identification problem of source function in the system of composite type”, J. Sib. Fed. Univ. Math. Phys., 4:4 (2011), 445–457

Citation in format AMSBIB
\Bibitem{Bel11} \by Yury~Ya.~Belov \paper An identification problem of source function in the system of composite type \jour J. Sib. Fed. Univ. Math. Phys. \yr 2011 \vol 4 \issue 4 \pages 445--457 \mathnet{http://mi.mathnet.ru/jsfu203}