Geodesic
A representation of solution of the identification problem of the coefficients at second order operator in the multi-dimensional parabolic equations system
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 100-111

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An identification problem of the coefficients at differential operator of second order and sum of lowest terms in system of multidimensional parabolic equations with Cauchy data was studied in this article. The theorems of existence and uniqueness of the solution for direct and inverse problems have been proved. The method of weak approximation is used to the proof existence of solutions.
Keywords: inverse problem, identification problem, method of weak approximation, system of equations in partial derivatives, existence and uniqueness of the solution. 
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     author = {Galina V. Romanenko},
     title = {A representation of solution of the identification problem of the coefficients at second order operator in the multi-dimensional parabolic equations system},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2014},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2014_7_1_a10/}
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Galina V. Romanenko. A representation of solution of the identification problem of the coefficients at second order operator in the multi-dimensional parabolic equations system. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 7 (2014) no. 1, pp. 100-111. http://geodesic.mathdoc.fr/item/JSFU_2014_7_1_a10/