期刊论文详细信息
Boundary value problems
Existence and nonexistence of solutions for a generalized Boussinesq equation
Ying Wang1 
[1] School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, China
关键词: Boussinesq equation;    blow-up;    global solution;    nonexistence;    35Q20;    76B15;   
DOI  :  10.1186/s13661-014-0259-3
学科分类:数学(综合)
来源: SpringerOpen
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【 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.

【 授权许可】

CC BY   

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