一阶非齐次拟线性双曲组的柯西问题整体经典解的存在性

Global Classical Solutions to the Cauchy Problem for General First Order Inhomogeneous Quasilinear Hyperbolic Systems

本文考察了弱线性退化的一阶非齐次拟线性严格双曲组具有小初值的柯西问题．在非齐次项满足匹配条件的假设下,给出了精细的波的分解公式,利用这些公式,证明了整体C1解的存在唯一性和稳定性．

This paper considers the Cauchy problem for general first order inhomogeneous quasilinear hyperbolic systems. Under the matching condition, the author first gives the refine formulas on the decomposition of wave. By these formulas, global existence of the C^1 solution and its L^1 stability are obtained.