一类广义Camassa-Holm方程解的持续性

The Persistence on the Solution for a Category of Generalized Camassa-Holm Equation

本文主要考虑在一定条件下一类广义Camassa-Holm方程的解在加权空间中的持续性,通过构造加权函数以及利用Young不等式和H?lder’s不等式对方程进行估计来获得研究结果.

The persistence property in weighted space of a generalized Camassa-Holm equation under a certain condition is chiefly discussed in this paper. The research result is obtained through the estimation of the equation based on the construction of the weighted functions and the utilization of Young inequality and Holder’s inequality.