BLOW-UP FOR THE EULER-BERNOULLI VISCOELASTIC EQUATION WITH A NONLINEAR SOURCE

被引：0
|
作者：
Yang, Zhifeng [1 ,2 ]
Fan, Guobing [3 ]
机构：
[1] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China
[2] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China
[3] Hunan Univ Finance & Econ, Changsha 410205, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
关键词：
Viscoelastic equation; blow-up; nonlinear source; GLOBAL EXISTENCE; WAVE-EQUATION; NONEXISTENCE; SYSTEM;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we consider the Euler-Bernoulli viscoelastic equation u(tt)(x,t) + Delta(2)u(x,t) - integral(t)(0) g(t-s)Delta(2)u(x,s)ds = vertical bar u vertical bar(p-1)u together with some suitable initial data and boundary conditions in Omega x (0, +infinity). Some sufficient conditions on blow-up of solutions are obtained under different initial energy states. And from these results we can clearly understand the competitive relationship between the viscoelastic damping and source.
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页数：12
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