School of Mathematics and Statistics
Wuhan University of Technology
Wuhan 430070, China
email: liuxin316587@whut.edu.cn
School of Mathematics and Statistics
Guangdong University of Foreign Studies
Guangzhou 510006, China
email: wxl8758669@aliyun.com
Xin Liu, Xinglong Wu
Abstract:
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 \(U_0(x)\) and its derivative \(U_{0,x}(x)\) decay logarithmically,
algebraically, and exponentially at infinity.
Submitted November 21, 2024. Published March 13, 2025.
Math Subject Classifications: 35G25, 35L05.
Key Words: Multi-component Novikov equation; asymptotic properties;
logarithmic decay; algebraical decay; exponential decay.
DOI: 10.58997/ejde.2025.27
Show me the PDF file (372 KB), TEX file for this article.
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Xin Liu School of Mathematics and Statistics Wuhan University of Technology Wuhan 430070, China email: liuxin316587@whut.edu.cn |
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| Xinglong Wu School of Mathematics and Statistics Guangdong University of Foreign Studies Guangzhou 510006, China email: wxl8758669@aliyun.com |
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