EXISTENCE AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE GENERALIZED DAMPED BOUSSINESQ EQUATION

被引：0
|
作者：
Wang, Yinxia [1 ]
机构：
[1] N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Generalized damped equation; global solution; asymptotic behavior; GLOBAL EXISTENCE;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the Cauchy problem for the n-dimensional generalized damped Boussinesq equation. Based on decay estimates of solutions to the corresponding linear equation, we define a solution space with time weighted norms. Under small condition on the initial value, the existence and asymptotic behavior of global solutions in the corresponding Sobolev spaces are established by the contraction mapping principle.
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页数：11
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