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.

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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

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