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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 Applications volume 2005, Article number: 941947 (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.
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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