广义浅水波方程解的整体存在性

Global existence of solution for generalized shallow water equations

用 Kato关于拟线性演化方程的有关理论结合解的先验估计 ,在初始值不变号的条件下 ,得到了一类广义浅水波方程解的整体存在性。

Through using Kato's theory of the quasi linear evolution equation and a priori estimate of solution,under the condition that initial data doesn't change sign,we obtain the global existence of solution for a class of generalized shallow water equations.