两类方程Cauchy问题经典解的等价性

The Equivalence of Classical Solutions for Cauchy Problems of Two Kinds of Equations

对于给出的一类二阶线性双曲型方程,通过未知变量替换,将其化为一阶对称双曲型方程组.可以证明这个一阶对称双曲型方程组与原来的二阶线性双曲型方程的Cauchy问题的经典解在某种意义下是等价的.

By the transformation of unknowns, one type of linear hyperbolic equations of second order is reduced to a symmetric hyperbolic system of first order. The equivalence of the classical solutions for Cauchy problems of these two kinds of equations is also proved.