Global existence and decay of solutions for the generalized bad Boussinesq equation

被引：0
|
作者：
Hatice Taskesen
Necat Polat
Abdulkadir Ertaş
机构：
[1] Yuzuncu Yil University,Department of Statistics
[2] Dicle University,Department of Mathematics
来源：
Applied Mathematics-A Journal of Chinese Universities | 2013年 / 28卷
关键词：
bad Boussinesq equation; global existence; asymptotic behavior; oscillatory integral; 76B15; 35L30; 35B40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the global existence of solutions for the Cauchy problem of the generalized sixth order bad Boussinesq equation. Moreover, we show that the supremum norm of the solution decays algebraically to zero as (1 + t)−(1/7) when t approaches to infinity, provided the initial data are sufficiently small and regular.
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页码：253 / 268
页数：15
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