一阶时变双曲型发展方程的古典解

The classical solution of the first order evolution equations in the hyperbolic case

研究了一类时变双曲型Cauchy问题。主要是一阶齐次、非齐次、半线性Cauchy问题的古典解的存在性和唯一性。

In this paper, a class of initial value problems in the hyperbolic case were concerned. We proved the existence and uniqueness of the classical solution of the first order evolution equations in the hyperbolic case.