| 具非线性阻尼项和源函数项双曲方程解爆破时间的下界估计 |
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| 引用本文： | 孙爱慧,曹春玲. 具非线性阻尼项和源函数项双曲方程解爆破时间的下界估计[J]. 吉林大学学报(理学版), 2014, 52(6): 1227-1229 |
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| 作者姓名： | 孙爱慧 曹春玲 |
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| 作者单位： | 1. 吉林师范大学 数学学院, 吉林 四平 136000； 2. 吉林大学 数学学院, 长春 130012 |
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| 基金项目： | 吉林省自然科学基金，吉林省科技发展计划项目，吉林省教育厅“十二五”科学技术研究项目 |
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| 摘 要： | 考虑双曲方程初边值问题解的性质.利用能量估计方法和Sobolev嵌入不等式,给出一个具非线性阻尼项和源函数项双曲方程解爆破时间的下界估计.
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| 关 键 词： | 阻尼项 非线性源 双曲方程 爆破时间 下界估计 |
| 收稿时间： | 2014-07-14 |
Lower Bound Estimation for the Blow-up Time of Solutions to a Class of Nonlinear Damped Hyperbolic Equations with Sources |
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| SUN Aihui,CAO Chunling. Lower Bound Estimation for the Blow-up Time of Solutions to a Class of Nonlinear Damped Hyperbolic Equations with Sources[J]. Journal of Jilin University: Sci Ed, 2014, 52(6): 1227-1229 |
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| Authors: | SUN Aihui CAO Chunling |
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| Affiliation: | 1. College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China;2. College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | The authors studied the properties of solutions for theinitial boundary value problem to a hyperbolic equation and obtained a lower bound estimation of blow up time for a class of nonlinear damped hyperbolic equations with sources by using the method of energy estimate and Sobolev embedding inequalities. |
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| Keywords: | damped term nonlinear sources hyerbolic equations blow-up time lower bound estimation |
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