Wang, Yu-ZhuLi, YanshuoHu, Qinhui2022-03-072022-03-072018-09-06Wang, Y. Z., Li, Y., & Hu, Q. (2018). Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term. <i>Electronic Journal of Differential Equations, 2018</i>(161), pp. 1-14.1072-6691https://hdl.handle.net/10877/15455In 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.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalSixth order Boussinesq equationMorrey spacesGlobal solutionDecay estimateAsymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion termArticle