一类高阶Camassa-Holm型方程整体弱解的存在性  

Global Weak Solutions to a High-Order Camass-Holm Type Equation

作　　者：罗可欣 赖绍永[2] Luo Kexin;Lai Shaoyong(School of Science,Xihua University,Chengdu 610039;Department of Mathematics,Southwestern University of Finance and Economics,Chengdu 611130)

机构地区：[1]西华大学理学院,成都610039 [2]西南财经大学数学学院,成都611130

出　　处：《数学物理学报（A辑）》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)。

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.

关 键 词：整体弱解 粘性近似 Camassa-Holm-type方程 

分 类 号：O175.29[理学—数学]