对角型拟线性双曲组的整体经典解

Global Classical Solutions for Quasilinear Hyperbolic Systems of Diagonal Form

本文在特征值部分线性退化、部分弱线性退化时,考察一阶拟线性对角型严格双曲组的柯西问题,当初值满足适当的条件时得到了其整体经典解的存在性.

In this paper, we consider the first order quasilinear hyperbolic systems of diagonal form with partly linearly degenerate and partly weakly linearly degenerate characteristics. The existence of global classical solution to the Cauchy problem for thus systems is obtained under suitable assumptions on the initial data.