This article is cited in 10 papers

An identification problem of the source function of the special form in two-dimensional parabolic equation

Igor V. Frolenkov, Ekaterina N. Kriger

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The existence, uniqueness and stability of solution by input data of the identification problem for parabolic equation with source function of the special form in the case of Cauchy's data has been proved in this article.

Keywords: problem of the identification of source function, inverse problem, equations in partial derivatives, method of weak approximation, solution stability.

UDC: 517.9

Received: 18.07.2010
Received in revised form: 25.08.2010
Accepted: 10.09.2010