Geodesic
An identification problem of the source function of the special form in two-dimensional parabolic equation
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 556-564

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The existence, uniqueness and stability of solution by input data of the identification problem for parabolic equation with source function of the special form in the case of Cauchy's data has been proved in this article.
Keywords: problem of the identification of source function, inverse problem, equations in partial derivatives, method of weak approximation, solution stability. 
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     title = {An identification problem of the source function of the special form in two-dimensional parabolic equation},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a12/}
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Igor V. Frolenkov; Ekaterina N. Kriger. An identification problem of the source function of the special form in two-dimensional parabolic equation. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 4, pp. 556-564. http://geodesic.mathdoc.fr/item/JSFU_2010_3_4_a12/