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

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.

Keywords

• Sixth order Boussinesq equation
• Morrey spaces
• global solution
• decay estimate