一阶拟线性双曲组的经典解对参数的连续依赖性

Continuous Dependence on Parameter of the Classical Solution to First Order Quasilinear Hyperbolic Systems

考虑初值含参数的一阶拟线性双曲组的柯西问题 .由初值对参数的连续依赖性得到局部C1 解对参数的连续依赖性 .

A parameter, which is included in the initial value for the Cauchy problem of the first order quasilinear hyperbolic systems, is considered. From the continuous dependence on parameter of the initial value, the continuous dependence on parameter of the local C 1 solution is proved.