On some inverse parabolic problems with pointwise overdetermination

Sergey G. Pyatkov ; Vladislav A. Baranchuk

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 14 (2021) no. 4, pp. 463-474.

Résumé

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.

Détail

Keywords: parabolic system, inverse problem, pointwise overdetermination
Mots-clés : convection-diffusion.

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