| 一类耦合抛物型方程组解的爆破 |
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| 引用本文： | 裴金仙. 一类耦合抛物型方程组解的爆破[J]. 太原师范学院学报(自然科学版), 2012, 0(4): 48-49,61 |
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| 作者姓名： | 裴金仙 |
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| 作者单位： | 山西大学商务学院理学系 |
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| 摘 要： | 文章研究一类耦合抛物型方程组的初边值问题，给出了当初值和增长阶数满足一定条件时，解在有限时刻爆破的充分条件．研究结果是部分文献结果的推广．
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| 关 键 词： | 耦合抛物型方程组 能量法 解的爆破 爆破的条件 |
Blow-Up of Solutions for a Coupled Parabolic Equation System |
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| Pei Jinxian. Blow-Up of Solutions for a Coupled Parabolic Equation System[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 0(4): 48-49,61 |
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| Authors: | Pei Jinxian |
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| Affiliation: | Pei Jinxian (Department of Mathematics,Business College of Shanxi University,Taiyuan 030031,China) |
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| Abstract: | To studies the initial boundary value problem of a coupled parabolic equation system with nonlinear source. Since the explicit solution can not be solved,the discussion to the property of the solution is important. It is showed that under some conditions the solutions blow up in finite time by energy method. |
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| Keywords: | coupled parabolic equation system energy method blow-up of solutions blasting eonditions |
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