摘要
本文研究带梯度项的非线性双重退缩抛物方程第一初边值问题解的耗竭性,应用能量方法,我们给出了解在有限时间内耗竭的充分条件。
This paper deals with the extinction properties of solutions of the first initial-boundary value problem for the nonlinear doubly degenerate parabolic equation with a gradient term.By using the energy method ,a sufficient condition is given to guarantee that the weak solution will have a finite extinction time.
出处
《漳州师范学院学报(自然科学版)》
2001年第3期11-15,共5页
Journal of ZhangZhou Teachers College(Natural Science)
关键词
双重退缩抛物方程
梯度项
耗竭
Doubly degenerate parabolic equation , Gradient term , Extinction