| 摘要: |
| 讨论一类发展p-Laplacian方程(∂u)/(∂t)=∂/(∂x)(|(∂um)/(∂x)|p-2(∂um)/(∂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. |
| 关键词: p-Laplacian方程 发展方程 正解 |
| DOI： |
| 投稿时间：2007-05-14修订日期：2007-07-23 |
| 基金项目:Supported by the Natural Science Foundation of China. |
|
| Positivity for an Evolution p-Laplacian Equation |
|
LING Zheng-qiu
|
| (Department of Mathematics and Compupter Science, Yulin Normal University, Yulin, Guangxi, 537000, China) |
| Abstract: |
| The weak solution of the initial boundary value problem of evolution p-Laplacian equation (∂u)/ (∂t)=∂/ (∂x) (| (∂um)/ (∂x)|p-2 (∂um)/ (∂x))is discussed.It is proved that the weak solution is positive when m (p-1)>1 and t is large enough. |
| Key words: p-Laplacian equation evolution equation positivity |
