Differentiable Solution of Inhomogeneous Boundary Value Problem for Symmetric Hyperbolic System in Wedge Domain

The inhomogeneous boundary value problem for symmetric hyperbolic system in the wedge domain was discussed, its differentiable solution under certain conditions was obtained. For this purpose the author first introduces the norm with boundary value and selects suitable tangent operator, then gets the needed priori estimate, finally proves the existence theorem of its high order differentiable solution.