Journal of Siberian Federal University. Mathematics & Physics / An Identification Problem of Source Function for One Semievolutionary System

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2010 3 (4)
Authors
Belov, Yuri Ya.
Contact information
Belov, Yuri Ya. : e-mail:
Keywords
partial differential equations; boundary-value problems; approximation; small parameter; convergence
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 ε > 0 at a derivative with respect to time.

Pages
487-499
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1829