On some classes of inverse problems with overdetermination data on spatial manifolds
- Autores: Pyatkov S.1
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Afiliações:
- Yugra State University
- Edição: Volume 57, Nº 5 (2016)
- Páginas: 870-880
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170760
- DOI: https://doi.org/10.1134/S0037446616050177
- ID: 170760
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Resumo
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.
Sobre autores
S. Pyatkov
Yugra State University
Autor responsável pela correspondência
Email: s_pyatkov@ugrasu.ru
Rússia, Novosibirsk
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