Exponential growth of solution of a strongly nonlinear generalized Boussinesq equation

被引：12
|
作者：
Zhang, Hongwei [1 ]
Lu, Jun [2 ]
Hu, Qingying [1 ]
机构：
[1] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China
[2] Zhengzhou Normal Univ, Dept Math, Zhengzhou 450044, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2014年 / 68卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Nonlinear generalized Boussinesq equation; Exponential growth; Multiple nonlinearities; BLOW-UP SOLUTIONS; HIGH-ENERGY LEVEL; SEMILINEAR PARABOLIC EQUATIONS; REACTION-DIFFUSION EQUATIONS; SOBOLEV TYPE EQUATION; NONEXISTENCE THEOREMS; GLOBAL-SOLUTIONS; EVOLUTION-EQUATIONS; INITIAL ENERGY; WAVE-EQUATIONS;
D O I：
10.1016/j.camwa.2014.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An initial-boundary value problem for strongly nonlinear generalized Boussinesq equation is studied. We show the exponential growth of solution with L-p-norm for negative or positive initial energy by constructing differential inequalities. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1787 / 1793
页数：7
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