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JOURNALS // Siberian Journal of Pure and Applied Mathematics // Archive

Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 2013 Volume 13, Issue 1, Pages 120–134 (Mi vngu135)

An existence of the solution for identification problem of coefficient in special form at source function

I. V. Frolenkov, E. N. Kriger

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia

Abstract: An identification problem of the special form coefficient at source function in twodimensional parabolic equation with Cauchy data was studied in this article. Unknown coefficient is considered as the product of two unknown functions, each of which depends on the time and one spatial variable. The theorems of existence of the solution for direct and inverse problems has been proved using a weak approximation method.

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

UDC: 517.9

Received: 01.08.2011


 English version:
Journal of Mathematical Sciences, 2014, 203:4, 464–477


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