Extinction and positivity for the evolution p-Laplacian equation with L¹ initial value

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• 作者：Hongjun Yuan ; Xiaojing Xu ; Wenjie Gao ; Songzhe Lian and Chunling Cao
• 关键词：Extinction ; Positivity ; p-Laplacian equation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2005
• 期刊代码：76_0022247x
• 类别：mt
• 出版时间：2005
• 卷：310
• 期：1
• 页码：328-337
• 文件大小：92 K

摘要

The aims of this paper are to discuss extinction and positivity for the evolution p-Laplacian equation

with initial value u₀(x)L¹(Ω) and zero boundary value conditions, where p>1. In particular, the necessary and sufficient condition for extinction is obtained.