Journal of Inequalities and Applications
Volume 2005 (2005), Issue 5, Pages 547-567
doi:10.1155/JIA.2005.547
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.