Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy

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作者
Jianghao Hao
Aiyuan Gao
机构
[1] Shanxi University,School of Mathematical Sciences
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关键词
Generalized Boussinesq equation; Damping; Cauchy problem; Blow-up; Arbitrarily high initial energy; 35L20; 35B35; 93D20;
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摘要
In this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.
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