An identification problem of source function in the system of composite type
Yury Ya. Belov
Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
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.
partial differential equations, boundary-value problems, approximation, small parameter, convergence.
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Received in revised form: 25.06.2011
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
\paper An identification problem of source function in the system of composite type
\jour J. Sib. Fed. Univ. Math. Phys.
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