Geodesic
An existence of the solution for identification problem of coefficient in special form at source function
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 120-134 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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I. V. Frolenkov; E. N. Kriger. An existence of the solution for identification problem of coefficient in special form at source function. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 1, pp. 120-134. http://geodesic.mathdoc.fr/item/VNGU_2013_13_1_a10/

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