| 一类具非局部源抛物型方程组解的一致爆破性质 |
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| 引用本文： | 蒋良军,李慧玲,胡俊.一类具非局部源抛物型方程组解的一致爆破性质[J].应用数学,2009,22(2). |
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| 作者姓名： | 蒋良军 李慧玲 胡俊 |
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| 作者单位： | 1. 南京晓庄学院数学系,江苏,南京,210017
2. 东南大学数学系,江苏,南京,210018 |
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| 摘 要： | 考虑带有齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程组正解的爆破性质,首先给出了该问题的解在有限时刻爆破的充分条件,以及解的两个分量同时爆破的必要条件,并建立了解的一致爆破模式.
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| 关 键 词： | 抛物型方程组 非局部源 一致爆破模式 |
Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources |
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| JIANG Liang-jun,LI Hui-ling,HU Jun.Uniform Blow-up Properties for a Parabolic System with Nonlocal Sources[J].Mathematica Applicata,2009,22(2). |
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| Authors: | JIANG Liang-jun LI Hui-ling HU Jun |
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| Abstract: | This paper deals with the blow-up properties of positive solutions to a semilinear parabolic system with nonlocal sources,subjected to null Dirichlet boundary conditions.We first obtain some sufficient conditions on the blow-up in a finite time of solutions and a necessary condition for which the two components of the solution blow-up simultaneously,and then establish uniform blow-up profiles in the interior. |
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| Keywords: | Parabolic systems Nonlocal sources Uniform blow-up profiles |
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