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On some boundary value problems for a class of hyperbolic systems of second order in conic domains

Journal of Inequalities and Applications20052005:941947

Received: 16 December 2003

Published: 31 October 2005


For one class of hyperbolic systems of second order, we consider multidimensional versions of the Darboux problem in conic domains. A priori estimates of solutions of these problems are obtained. The existence of a solution of the Darboux problems is proved under the supplementary conditions imposed on the coefficients of the system, when the data support of the problem is of temporary type.

Authors’ Affiliations

A. Razmadze Mathematical Institute, Department of Mathematics and Physics, Georgian Academy of Sciences, Tbilisi, Georgia


© Kharibegashvili 2005