Blow-up for Generalized Boussinesq Equation with Double Damping Terms

被引：0
|
作者：
Jianghao Hao
Aiyuan Gao
机构：
[1] Shanxi University,School of Mathematical Sciences
来源：
Mediterranean Journal of Mathematics | 2020年 / 17卷
关键词：
Generalized Boussinesq equation; cauchy problem; damping; blow-up; high initial energy; 35L20; 35B35; 93D20;
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摘要：
In this paper, we consider the Cauchy problem for a generalized Boussinesq equation with double damping terms. By using improved convexity method combined with potential well method and Fourier transform, we show the finite time blow-up of the solution with arbitrarily high initial energy while many similar results require the corresponding energy to be less than some certain numbers.
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