On some classes of inverse problems with overdetermination data on spatial manifolds
- 作者: Pyatkov S.1
-
隶属关系:
- Yugra State University
- 期: 卷 57, 编号 5 (2016)
- 页面: 870-880
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170760
- DOI: https://doi.org/10.1134/S0037446616050177
- ID: 170760
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详细
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.
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