Blow-Up and Global Solvability of the Cauchy Problem for a Pseudohyperbolic Equation Related to the Generalized Boussinesq Equation

被引：0
|
作者：
Kh. G. Umarov
机构：
[1] Academy of Sciences of the Chechen Republic,
[2] Chechen State Pedagogical University,undefined
来源：
Siberian Mathematical Journal | 2022年 / 63卷
关键词：
sixth order generalized Boussinesq equation; nonlinear strictly pseudohyperbolic equation; global solution; blow-up; 517.958;
D O I：
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学科分类号：
摘要：
Under consideration is the Cauchy problem in the space of continuous functions for a nonlinear strictly hyperbolic equation related to the generalized Boussinesq equation. We discuss the conditions for existence of a global classical solution and blow-up of a solution to the Cauchy problem on a finite time segment.
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页码：559 / 574
页数：15
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