| 一类伪抛物方程解的爆破时间上下界估计 |
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| 引用本文： | 陈佳佳,罗祥勇,曾嵘.一类伪抛物方程解的爆破时间上下界估计[J].西南师范大学学报(自然科学版),2012,37(7):42-45. |
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| 作者姓名： | 陈佳佳 罗祥勇 曾嵘 |
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| 作者单位： | 1. 重庆大学数学与统计学院,重庆,401331
2. 四川音乐学院,成都,610021 |
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| 摘 要： | 利用能量不等式的方法,对能量函数构造二阶微分不等式,给出一类伪抛物方程的解在有限时刻爆破的充分条件以及爆破时间上下界估计.
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| 关 键 词： | 爆破 伪抛物方程 爆破时间 |
The Blow-up for Some Pseudo-Parabolic Equation |
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| CHEN Jia-jia
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LUO Xiang-yong
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ZENG Rong.The Blow-up for Some Pseudo-Parabolic Equation[J].Journal of Southwest China Normal University(Natural Science),2012,37(7):42-45. |
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| Authors: | CHEN Jia-jia LUO Xiang-yong ZENG Rong |
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| Institution: | 1.College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China;2.Sichuan Conservatory of Music,Chengdu 610021,China |
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| Abstract: | In this paper,by means of energy inequality and constructing second order differential inequality for the energy function,we derive sufficient conditions for the blow-up solutions of some pseudo-parabolic equations.The upper bound and lower bound for the blow-up time are also determined. |
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| Keywords: | blow-up pseudo-parabolic equation blow-up time |
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