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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 Received: 18.05.2011 Received in revised form: 25.06.2011 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}
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http://mi.mathnet.ru/eng/jsfu203 http://mi.mathnet.ru/eng/jsfu/v4/i4/p445
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