| 非线性边界条件下抛物问题解的爆破 |
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| 引用本文： | 李晓军,钟承奎.非线性边界条件下抛物问题解的爆破[J].数学学报,2007,50(5):981-988. |
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| 作者姓名： | 李晓军 钟承奎 |
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| 作者单位： | 河海大学理学院，兰州大学数学与统计学院 南京 210098，兰州 730000 |
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| 摘 要： | 本文讨论在在非线性边界条件下反应-扩散方程解的爆破.当非线性项f,g满足一定的条件时,我们得到其解在有限时间内爆破.
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| 关 键 词： | 反应-扩散 非线性边界条件 爆破 |
| 文章编号： | 0583-1431（2007）05-0981-08 |
| 收稿时间： | 2006-3-28 |
| 修稿时间： | 2006-03-28 |
Blow-up of Solutions of Parabolic Problems with Nonlinear Boundary Conditions |
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| Xiao Jun LI,Cheng Kui ZHONG.Blow-up of Solutions of Parabolic Problems with Nonlinear Boundary Conditions[J].Acta Mathematica Sinica,2007,50(5):981-988. |
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| Authors: | Xiao Jun LI Cheng Kui ZHONG |
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| Institution: | 1.School of Science, Hohai Unniversity, Nanjing 210098, P. R. China;2.School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, P. R. China |
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| Abstract: | The purpose of this paper is to investigate the blow-up solutions of reaction- diffusion equations with nonlinear boundary conditions.Under some assumptions on the nonlinear terms f and g,we show that the solutions blow up in finite time. |
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| Keywords: | Reaction-diffusion nonlinear boundary condition blow-up |
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