| 一个带加权使局部源抛物型方程解的整体爆破 |
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| 引用本文： | 蒋良军.一个带加权使局部源抛物型方程解的整体爆破[J].南京晓庄学院学报,2012(3):9-12. |
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| 作者姓名： | 蒋良军 |
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| 作者单位： | 南京晓庄学院数学与信息技术学院,江苏南京,211171 |
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| 摘 要： | 考虑带齐次Dirichlet边界条件,具使局部源项的抛物型方程ut=Δu＋a（x）epu＋qu（x0,t）,x∈Ω,t〉0的解的爆破性质,我们证明了当p〈0且p＋q〉0时,解在Ω内处处爆破.
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| 关 键 词： | 抛物型方程 整体爆破 使局部源 权函数 |
The Total Blow-up Solution to a Parabolic Equation with a Weighted Localized Source |
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| JIANG Liang-jun.The Total Blow-up Solution to a Parabolic Equation with a Weighted Localized Source[J].Journal of Nanjing Xiaozhuang College,2012(3):9-12. |
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| Authors: | JIANG Liang-jun |
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| Institution: | JIANG Liang-jun(School of Mathematics and Information Technology,Nanjing Xiaozhuang University,Nanjing 211171,Jiangsu) |
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| Abstract: | The paper deals with the blow-up property of the solution to the parabolic equation ut=Δu+a(x)epu+qu(x0,t),x∈Ω,t>0 subject to the null Dirichlet boundary condition.It has been proved that when p<0 with p+q>0,the solution blows up everywhere in Ω. |
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| Keywords: | parabolic equation total blow-up localized sources weight function |
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