Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation

被引：24
|
作者：
Wang, Yu-Zhu [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 01期
关键词：
The generalized Boussinesq equation; Local solution; Global solution; Asymptotic behaviour of solution; BLOW-UP; SCATTERING;
D O I：
10.1016/j.na.2007.12.018
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the existence and the uniqueness of global solution for the Cauchy problem for the generalized Boussinesq equation. Under some assumptions, we also show that the LOO norm of small solution of the Cauchy problem for the generalized Boussinesq equation decays to zero as t tends to the infinity. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：465 / 482
页数：18
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