应用数学2003，Vol.16Issue(4)：60-64,5.
具有非线性梯度吸收项的快速扩散方程的有限熄灭
Extinction for the Fast Diffusion Equations with Nonlinear Gradient Absorption in Rn
摘要
Abstract
In this short paper we deal with the Cauchy problem of the fast diffusion equation ut -△um + | (△)u | p = 0 with m, p ∈ (0,1). For 0 ＜ p ＜ m ＜ 1 we prove that the solution vanishes identi-cally after a finite time when the initial data satisfies some decay conditions at | x | = ∞ and that thesolution is strictly positive in Rn × [0 ,∞) if the initial data does not satisfy such decay conditions.关键词
有限熄灭/快速扩散方程Key words
Extinction in finite time/Fast diffusion equation分类
数理科学引用本文复制引用
石佩虎..具有非线性梯度吸收项的快速扩散方程的有限熄灭[J].应用数学,2003,16(4):60-64,5.基金项目
Supported by PRC Grant NSFC 19831060 and the "333" project of Jiangsu province （）
