Igor V. Frolenkov, Ekaterina N. Kriger, “An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data”, J. Sib. Fed. Univ. Math. Phys., 2013, Volume 6, Issue 2,Pages <nobr>186

This article is cited in 4 papers

An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data

Igor V. Frolenkov, Ekaterina N. Kriger

Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk, Russia

Abstract: The existence and uniqueness of solution of the identification problem for multi-dimensional parabolic equation with source function of the special form in the case of Cauchy's data has been proved in this paper.

Keywords: inverse problem, identification of coefficient at source function, multi-dimensional parabolic equation, method of weak approximation, existence and uniqueness of solution, Cauchy problem.

UDC: 517.9

Received: 28.10.2012
Received in revised form: 28.12.2012
Accepted: 28.01.2013

Language: English