Blowup and decay behavior of solutions to the generalized Boussinesq-type equation with strong damping

被引：1
|
作者：
Mohammadi, Hamideh B. [1 ]
Esfahani, Amin [1 ]
机构：
[1] Damghan Univ, Sch Math & Comp Sci, Damghan 36715364, Iran
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2019年 / 42卷 / 08期
关键词：
asymptotic behavior; blowup; generalized damped equation; GLOBAL EXISTENCE; CAUCHY-PROBLEM; SOLITARY WAVES; INSTABILITY; NONEXISTENCE;
D O I：
10.1002/mma.5556
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Cauchy problem for the generalized Boussinesq-type equation with strong damping. By defining a suitable solution space with time-weighted norms and under smallness condition on the initial data, we establish the global existence and decay property of the solutions. Under certain conditions on the initial data, we also provide blowup of the solutions.
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页码：2854 / 2876
页数：23
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