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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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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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