Geodesic
On some inverse parabolic problems with pointwise overdetermination
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 463-474

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We examine well-posedness questions in the Sobolev spaces of inverse problems of recovering coefficients depending on time in a parabolic system. The overdetermination conditions are values of a solution at some collection of points lying inside the domain and on its boundary. The conditions obtained ensure existence and uniqueness of solutions to these problems in the Sobolev classes.
Keywords: parabolic system, inverse problem, pointwise overdetermination
Mots-clés : convection-diffusion. 
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Sergey G. Pyatkov; Vladislav A. Baranchuk. On some inverse parabolic problems with pointwise overdetermination. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 463-474. http://geodesic.mathdoc.fr/item/JSFU_2021_14_4_a7/