摘要
使用粘性近似方法研究了一类高阶Camasa-Holm型方程.推出了该类方程粘性解的高阶可积性估计及其空间导数的上界估计,从而证明了该类方程整体弱解的存在性.
The viscous approximation technique is employed to investigate the existence of global weak solutions for a high-order Camassa-Holm type equation.A higher integrability estimate of the viscous solutions for the equation and the upper bound estimate on the space derivative of its viscous solutions are derived to prove the existence.
作者
罗可欣
赖绍永
Luo Kexin;Lai Shaoyong(School of Science,Xihua University,Chengdu 610039;Department of Mathematics,Southwestern University of Finance and Economics,Chengdu 611130)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2022年第2期427-441,共15页
Acta Mathematica Scientia
基金
国家自然科学基金(11471263)
西华杯(2021190)。
