Geodesic
An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with Cauchy data
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 186-199

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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. 
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     author = {Igor V. Frolenkov and Ekaterina N. Kriger},
     title = {An identification problem of coefficient in the special form at source function for multi-dimensional parabolic equation with {Cauchy} data},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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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. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 186-199. http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a5/