On determining the source function in heat and mass transfer problems under integral overdetermination conditions

We examine an inverse problem of determining the right-hand side (the source function) in a parabolic equation from integral overdetermination data. By a solution to a parabolic equation we mean a weak solution, and the right-hand side in this equation can be a distribution of a certain class. Under...

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Veröffentlicht in:Journal of applied and industrial mathematics 2016-10, Vol.10 (4), p.549-555
Hauptverfasser: Pyatkov, S. G., Uvarova, M. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:We examine an inverse problem of determining the right-hand side (the source function) in a parabolic equation from integral overdetermination data. By a solution to a parabolic equation we mean a weak solution, and the right-hand side in this equation can be a distribution of a certain class. Under some conditions on the data of the problem, we demonstrate that this inverse problem is well posed and, in particular, some stability estimates hold.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478916040116