Electron. J. Differential Equations,
Vol. 2018 (2018), No. 161, pp. 1-14.
Asymptotic behavior of the sixth-order Boussinesq equation with
fourth-order dispersion term
Yu-Zhu Wang, Yanshuo Li, Qinhui Hu
Abstract:
In this article, we investigate the initial-value problem for the
sixth-order Boussinesq equation with fourth order dispersion term.
Existence of a a global solution and asymptotic behavior in Morrey
spaces are established under suitable conditions.
The proof is mainly based on the decay properties of the solutions
operator in Morrey spaces and the contraction mapping principle.
Submitted November 28, 2017. Published September 6, 2018.
Math Subject Classifications: 35L30, 35B40.
Key Words: Sixth order Boussinesq equation; Morrey spaces; global solution;
decay estimate.
Show me the PDF file (269 KB),
TEX file for this article.
 |
Yu-Zhu Wang
School of Mathematics and Statistics
North China University of Water Resources and Electric Power
Zhengzhou 450011, China
email: yuzhu108@163.com
|
|---|
 |
Yanshuo Li
School of Mathematics and Statistics
North China University of Water Resources and Electric Power
Zhengzhou 450011, China
email: liyanshuomath@163.com
|
|---|
 |
Qinhui Hu
School of Mathematics and Statistics
North China University of Water Resources and Electric Power
Zhengzhou 450011, China
email: 869127438@qq.com
|
|---|
Return to the EJDE web page