中山大学学报（自然科学版）Issue(4)：8-12,5.
修正 Camassa-Holm 方程的 Cauchy 问题
The Cauchy Problem for the Modified Camassa-Holm Equations
摘要
Abstract
The Cauchy problem of the modified Camassa-Holm equation is mainly studied .First, a new blow-up phenomenon which is an improvement of the earlier ones is presented .Then it is proved that the Cauchy problem for the modified Camassa-Holm equation is not locally well-posedness in the sense that its solution does not depend uniformly continuously on the initial data .关键词
修正CamassaHolm 方程/爆破/关于初值非一致依赖性Key words
the modified Camassa-Holm equation/blow up/non-uniform dependence on initial data分类
数理科学引用本文复制引用
张双虎,冯兆永,杨凯波..修正 Camassa-Holm 方程的 Cauchy 问题[J].中山大学学报（自然科学版）,2014,(4):8-12,5.基金项目
国家自然科学基金资助项目（11101337）；教育部新教师博士点基金资助项目（20110182120013）；中央高校基本科研业务费专项资金资助项目（XDJK2011C046）；西南大学博士基金资助项目 （）
