| 一类半线性抛物型方程解的爆破性质 |
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| 引用本文： | 查中伟. 一类半线性抛物型方程解的爆破性质[J]. 西南师范大学学报(自然科学版), 2004, 29(2): 172-176 |
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| 作者姓名： | 查中伟 |
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| 作者单位： | 重庆三峡学院,计算机系,重庆,万州,404000 |
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| 摘 要： | 讨论了一类半线性抛物型方程具有第三类非线性边界条件的初边值问题 .在某些假设条件下 ,证明了该问题的解在有限时间内爆破
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| 关 键 词： | 半线性抛物型方程 初边值问题 爆破性质 |
| 文章编号： | 1000-5471(2004)02-0172-05 |
| 修稿时间： | 2003-04-28 |
Blow up Property of the Solutions on a Type of Semi-linear Parabolic Equations |
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| ZHA Zhong-wei Dept. of Computer,Chongqing Three Gorges College,Wanzhou Chongqing ,China. Blow up Property of the Solutions on a Type of Semi-linear Parabolic Equations[J]. Journal of southwest china normal university(natural science edition), 2004, 29(2): 172-176 |
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| Authors: | ZHA Zhong-wei Dept. of Computer Chongqing Three Gorges College Wanzhou Chongqing China |
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| Affiliation: | ZHA Zhong-wei Dept. of Computer,Chongqing Three Gorges College,Wanzhou Chongqing 404000,China |
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| Abstract: | It is discusses that the initial-boundary value problem under the third non-linear boundary condition for a kind of semi-linear parabolic equation. It is proved that the blowing up of the solution is obtained in the definite time under some assumed conditions. |
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| Keywords: | semi-linear parabolic equation initial-boundary value problem blow up property |
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