The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain

In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.

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Veröffentlicht in:Russian mathematics 2010-04, Vol.54 (4), p.48-54
Hauptverfasser: Sabitov, K. B., Safin, E. M.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper with the help of the spectral method we obtain a criterion for the unique solvability of the inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain. This problem implies the search of the unknown right-hand side.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X10040067