| 一类具非局部源抛物型方程解的爆破 |
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| 引用本文： | 蒋良军.一类具非局部源抛物型方程解的爆破[J].南京晓庄学院学报,2008(6). |
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| 作者姓名： | 蒋良军 |
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| 作者单位： | 南京晓庄学院数学系,江苏南京,210017 |
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| 基金项目： | 南京晓庄学院科研基金
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| 摘 要： | 考虑带齐次Dirichlet边界条件,具非局部源项的半线性抛物型方程正解的爆破性质,证明了该问题的解在有限时间内爆破,并建立解在区域内部一致爆破的模式.
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| 关 键 词： | 抛物型方程 非局部源 一致爆破模式 |
Uniform Blow-up Properties for a Parabolic System with Non-local Sources |
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| JIANG Liang-jun.Uniform Blow-up Properties for a Parabolic System with Non-local Sources[J].Journal of Nanjing Xiaozhuang College,2008(6). |
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| Authors: | JIANG Liang-jun |
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| Abstract: | This paper deals with the blow-up properties of positive solutions to a semilinear parabolic equation with nonlocal sources,subject to null Dirichlet boundary conditions.The sufficient conditions are obtained on the blow-up in a finite time of solutions and then the uniform blow-up profiles in the interior are accordingly established. |
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| Keywords: | parabolic systems non-local sources uniform blow-up profiles |
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