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

Abstract

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.

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Correspondence to S Kharibegashvili.

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Kharibegashvili, S. On some boundary value problems for a class of hyperbolic systems of second order in conic domains. J Inequal Appl 2005, 941947 (2005). https://doi.org/10.1155/JIA.2005.547

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  • DOI: https://doi.org/10.1155/JIA.2005.547