| 一类非线性抛物方程解的爆破时间估计 |
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| 引用本文： | 王勤锋,周寿明.一类非线性抛物方程解的爆破时间估计[J].重庆工商大学学报(自然科学版),2013,30(3):5-10. |
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| 作者姓名： | 王勤锋 周寿明 |
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| 作者单位： | 重庆大学数学与统计学院,重庆,401331 |
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| 摘 要： | 主要研究带有第三界边界条件的非线性抛物方程解的爆破现象,建立一系列微分不等式,给出了爆破时间的下界估计,最后给出了方程解不爆破的条件.
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| 关 键 词： | 爆破 爆破时间估计 非线性抛物方程 |
Blow-up Time Estimation for a Solutions of a Class of Nonlinear Parabolic Equations |
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| WANG Qin-feng,ZHOU Shou-ming.Blow-up Time Estimation for a Solutions of a Class of Nonlinear Parabolic Equations[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2013,30(3):5-10. |
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| Authors: | WANG Qin-feng ZHOU Shou-ming |
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| Institution: | (College of Mathematics and Statistics,Chongqing University,Chongqing 401331,China) |
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| Abstract: | This paper mainly studied the blow-up phenomena of the solutions to some nonlinear parabolic equation under Robin boundary conditions,set up a series of differential inequalities,determined lower boundary estimation for blow-up time and finally gave the non-blow-up condition for the solutions. |
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| Keywords: | blow-up blow-up time estimation nonlinear parabolic equations |
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