The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind

The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind

In this paper we consider the Gellerstedt problem for a parabolic-hyperbolic equation of the second kind. We prove the unique solvability of this problem by means of a new representation for a solution to the modified Cauchy problem in a generalized class R .

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Veröffentlicht in:Russian mathematics 2009-04, Vol.53 (4), p.26-30
1. Verfasser: Mamadaliev, N. K.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we consider the Gellerstedt problem for a parabolic-hyperbolic equation of the second kind. We prove the unique solvability of this problem by means of a new representation for a solution to the modified Cauchy problem in a generalized class R .
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X09040045