A characteristic initial value problem for a strictly hyperbolic system
Consider the system , for in , where and are real constant matrices, and is a continuous function in . We assume that and that the system is strictly hyperbolic in the sense that there are four distinct characteristic curves , , in -plane whose gradients satisfy . We allow the characteristics of the system to be given by and , . Under special conditions on the boundaries of the region , we will show that the system has a unique solution in .
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