劈状区域中对称双曲组非齐次边值问题的可微分解
Differentiable Solution of Inhomogeneous Boundary Value Problem for Symmetric Hyperbolic System in Wedge Domain
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摘要: 适当选取切边算子,引入函数的带边界的模,对文题建立先验估计,证明了高阶可微分解的存在性定理。Abstract: 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.