Dispersive Estimates and Asymptotic Behavior for a Generalized Boussinesq-Type Equation

被引：0
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作者：
Guowei Liu
Wei Wang
机构：
[1] Chongqing Normal University,School of Mathematical Sciences
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2023年 / 46卷
关键词：
Boussinesq equation; Dispersive estimate; Existence; Decay; Scattering; Primary 35Q35; Secondary 47J35; 35B40;
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摘要：
In this paper, we study the Cauchy problem for a generalized Boussinesq-type equation in Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {R}^n$$\end{document}. We establish a dispersive estimate for the linear group associated with the generalized Boussinesq-type equation. As applications, the global existence, decay and scattering of solutions are established for small initial data.
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