Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term

Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term

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 proper...

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Bibliographic Details
Main Authors: Yu-Zhu Wang, Yanshuo Li, Qinhui Hu
Format: Article
Language:English
Published: Texas State University 2018-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Sixth order Boussinesq equation
Morrey spaces
global solution
decay estimate
Online Access:http://ejde.math.txstate.edu/Volumes/2018/161/abstr.html
Description
Summary: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.
ISSN:1072-6691

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