| 一类发展p-Laplacian方程的正解 |
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| 引用本文： | 凌征球.一类发展p-Laplacian方程的正解[J].广西科学,2007,14(4):342-344. |
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| 作者姓名： | 凌征球 |
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| 作者单位： | 玉林师范学院数学与计算机科学系,广西玉林,537000 |
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| 基金项目： | Supported by the Natural Science Foundation of China |
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| 摘 要： | 讨论一类发展p-Laplacian方程(u)/(t)=/(x)(|(u~m)/(x)|p-2(u~m)/(x))的初边值问题的弱解,并证明m(p-1)>1,而且t足够大时弱解是一个正解.
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| 关 键 词： | p-Laplacian方程 发展方程 正解 |
| 文章编号： | 1005-9164（2007）04-0342-03 |
| 收稿时间： | 2007-05-14 |
| 修稿时间： | 2007-07-23 |
Positivity for an Evolution p-Laplacian Equation |
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| LING Zheng-qiu.Positivity for an Evolution p-Laplacian Equation[J].Guangxi Sciences,2007,14(4):342-344. |
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| Authors: | LING Zheng-qiu |
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| Institution: | Department of Mathematics and Compupter Science, Yulin Normal University, Yulin, Guangxi, 537000, China |
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| Abstract: | The weak solution of the initial boundary value problem of evolution p-Laplacian equation (e)u/(e)t=(e)/(e)x(|(e)um/(e)x|p-2(e)um/(e)x) is discussed.It is proved that the weak solution is positive when m(p-1)>1 and t is large enough. |
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| Keywords: | p-Laplacian equation evolution equation positivity |
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