一类非线性一阶双曲方程

A Class of the first order nonlinear hyperbolic equation

对一类非线性双曲方程给出了整体弱解的存在唯一性及古典解关于时间的存在区间对资料的依赖关系。

For a class of nonlinear hyperbolic equations,the existence and uniquess of a global weak solution are obtained,the dependent relation of existential interval of a classical solution on data is gained too.