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.
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Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
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description	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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title	The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind
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