This article is cited 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.

UDC: 517.9

Received: 18.06.2010
Received in revised form: 25.07.2010
Accepted: 10.08.2010