Existence and nonexistence of solutions for a generalized Boussinesq equation

被引：5
|
作者：
Wang, Ying [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2015年
基金：
中国国家自然科学基金;
关键词：
Boussinesq equation; blow-up; global solution; nonexistence; CAUCHY-PROBLEM; GLOBAL EXISTENCE; BLOW-UP; SCATTERING;
D O I：
10.1186/s13661-014-0259-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Cauchy problem for a generalized Boussinesq equation is investigated. The existence and uniqueness for the local solution and global solution of the problem are established under certain conditions. Moreover, the potential well method is used to discuss the finite-time blow-up for the problem.
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页数：15
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