PERSISTENCE PROPERTIES OF SOLUTIONS FOR MULTI-COMPONENT NOVIKOV EQUATIONS

被引：0
|
作者：
Liu, Xin [1 ]
Wu, Xinglong [2 ]
机构：
[1] Wuhan Univ Technol, Sch Math & Stat, Wuhan 430070, Peoples R China
[2] Guangdong Univ Foreign Studies, Sch Math & Stat, Guangzhou 510006, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 2025卷 / 27期
关键词：
Multi-component Novikov equation; asymptotic properties; logarithmic decay; algebraical decay; exponential decay; BI-HAMILTONIAN STRUCTURE; BLOW-UP PHENOMENA; GLOBAL EXISTENCE; WELL-POSEDNESS; WAVE SOLUTIONS; CAUCHY-PROBLEM;
D O I：
10.58997/ejde.2025.27
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we investigate the asymptotic behavior of the solution for a multi-component Novikov equation in weighted Sobolev spaces. We introduce a set of weighted functions, and prove that the strong solution will retain the corresponding decay properties when the initial data U0(x) and its derivative U0,x(x) decay logarithmically, algebraically, and exponentially at infinity.
引用
收藏
页码：1 / 18
页数：18
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