Asymptotic behavior of the sixth-order Boussinesq equation with fourth-order dispersion term
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Date
2018-09-06
Authors
Wang, Yu-Zhu
Li, Yanshuo
Hu, Qinhui
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Sixth order Boussinesq equation, Morrey spaces, Global solution, Decay estimate
Citation
Wang, 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.
Rights
Attribution 4.0 International