Camassa-Holm方程的初边值问题

INITIAL BOUNDAPY VALUE PROBLEM OF CAMASSA-HOLM EQUATION

用Kato关于拟线性演化方程的有关理论结合解的先验估计,证明Camassa-Holm方程某类初边值问题整体解的存在性,以及在一定条件下解的blowup。

Using Kato's theory of the quasi-linear evolution equation and a priori estimate,the existence of global solution of initial boundary value problem for Camassa-Holm equation was proved,We also study the blow up property of solution under some conditions.