On some classes of inverse problems with overdetermination data on spatial manifolds
- Authors: Pyatkov S.G.1
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Affiliations:
- Yugra State University
- Issue: Vol 57, No 5 (2016)
- Pages: 870-880
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170760
- DOI: https://doi.org/10.1134/S0037446616050177
- ID: 170760
Cite item
Abstract
We consider the question of well-posedness of the inverse problems of determining the righthand side (a source function) of a special form of a parabolic system of equations. The overdetermination data are the values of a solution and its normal derivatives on a system of surfaces in a spatial domain. In particular, the cross-sections of the domain can be used as these surfaces. Sharp conditions are presented for the data of the problem to ensure well-posedness.
About the authors
S. G. Pyatkov
Yugra State University
Author for correspondence.
Email: s_pyatkov@ugrasu.ru
Russian Federation, Novosibirsk