| 一类带梯度项的快速反应扩散方程解的熄灭 |
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| 引用本文： | 闫莉,陈波涛.一类带梯度项的快速反应扩散方程解的熄灭[J].东莞理工学院学报,2008,15(3):4-7. |
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| 作者姓名： | 闫莉 陈波涛 |
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| 作者单位： | 1. 重庆大学,数理学院,重庆,610064;重庆师范大学,初等教育学院,重庆,610064
2. 长江师范学院,数学系,重庆,610064 |
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| 摘 要： | 讨论了一类快速反应扩散方程us=-△u^m＋λ｜△↓u｜^p在全空间上Cauehy问题．当p〉2，0〈m〈N-2/N时，若初值满足适当的衰减条件，则方程的解会熄灭．反之，则不会熄灭．
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| 关 键 词： | 熄灭 快速反应扩散方程 |
Extinction for the Fast Diffusion Equations with Nonlinear Gradient Absorption |
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| YAN Li,CHEN Bo-tao.Extinction for the Fast Diffusion Equations with Nonlinear Gradient Absorption[J].Journal of Dongguan Institute of Technology,2008,15(3):4-7. |
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| Authors: | YAN Li CHEN Bo-tao |
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| Institution: | YAN Li~(1,2) CHEN Bo-tao~2 1.College of Mathematics , Physics,Chongqing University,Chongqing 610064,China,2.The Elementary Education College of Chongqing Normal University,3.Department of Mathematics,Yangtze Normal University,Chonsqing 610064 |
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| Abstract: | This paper is to deal with the Cauchy problem of the fast diffusion equation us=-△u^m＋λ｜△↓u｜^p in R^N.It is shown that if p〉2,0〈m〈N-2/N , the solution vanishes in finite time with the initial data satisfying some decay conditions at ｜x｜= ∞ and that the solution is strictly positive in RN if the initial data does not satisfy such decay conditions. |
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| Keywords: | extinction in finite time fast diffusion equation |
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