Geodesic
On the approximation of a~parabolic inverse problem by pseudoparabolic one
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 326-336

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The properties of the solution to the inverse problem on the identification of the leading coefficient of the multi-dimensional pseudoparabolic equation are studied. It is proved that the inverse problem for the pseudoparabolic equation approximates the appropriate inverse problem for the parabolic equation of filtration. The existence and uniqueness of the solution to the parabolic inverse problem is established.
Keywords: inverse problems for PDE, existence and uniqueness theorems.
Mots-clés : filtration, pseudoparabolic equation, parabolic equation 
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     title = {On the approximation of a~parabolic inverse problem by pseudoparabolic one},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Anna Sh. Lyubanova. On the approximation of a~parabolic inverse problem by pseudoparabolic one. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 5 (2012) no. 3, pp. 326-336. http://geodesic.mathdoc.fr/item/JSFU_2012_5_3_a3/