Geodesic
An representation of the solution of the inverse problem for a~multidimensional parabolic equation with initial data in the form of a~product
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 122-131

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An identification problem of the coefficient at differential operator of second order in multidimensional parabolic equation with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems has been proved.
Keywords: inverse problem, identification problem, method of weak approximation, equations in partial derivatives, existence and uniqueness of the solution. 
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     author = {Igor V. Frolenkov and Galina V. Romanenko},
     title = {An representation of the solution of the inverse problem for a~multidimensional parabolic equation with initial data in the form of a~product},
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Igor V. Frolenkov; Galina V. Romanenko. An representation of the solution of the inverse problem for a~multidimensional parabolic equation with initial data in the form of a~product. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 1, pp. 122-131. http://geodesic.mathdoc.fr/item/JSFU_2012_5_1_a13/