二阶Camassa-Holm方程Cauchy问题解的正则性  

The Regularity of Solution of the Cauchy Problem for 2-order Camassa-Holm Equation

作　　者：丁丹平[1] 朱琳[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《河南师范大学学报（自然科学版）》2016年第4期7-13,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11371175)

摘　　要：通过利用小黏性方法得到二阶Camassa-Holm方程柯西问题局部弱解的存在性,再利用Hlder不等式和Gronwall不等式等进行一系列的先验估计,研究Camassa-Holm方程解的正则性.In this paper, the Cauchy problem of the second-order Camassa-Holm equation is studied to obtain the exist- ence of the local weak solutions through the approach of viscosity. Also, the regularity of Camassa-Holm equations is re- searched by using HOlder inequality, Gronwall inequality and a series of prior estimates.

关 键 词：二阶Camassa-Holm方程 弱解的存在性 解的正则性估计 

分 类 号：O175.29[理学—数学]