On some classes of inverse problems with overdetermination data on spatial manifolds
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 domai...
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Veröffentlicht in: | Siberian mathematical journal 2016-09, Vol.57 (5), p.870-880 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | 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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ISSN: | 0037-4466 1573-9260 |
DOI: | 10.1134/S0037446616050177 |