Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (4)
- Authors
- Pyatkov, Sergey G.; Baranchuk, Vladislav A.
- Contact information
- Pyatkov, Sergey G.: Yugra State University Khanty-Mansiysk, Russian Federation; OCRID: 0000-0002-7238-9559; Baranchuk, Vladislav A.: Yugra State University Khanty-Mansiysk, Russian Federation;
- Keywords
- parabolic system; inverse problem; pointwise overdetermination; convection-diffusion
- Abstract
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
- Pages
- 463–474
- DOI
- 10.17516/1997-1397-2021-14-4-463-474
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/141731
Journal of Siberian Federal University. Mathematics & Physics / On some Inverse Parabolic Problems with Pointwise Overdetermination
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