Blow-up time estimate for a degenerate diffusion equation with gradient absorption
Blow-up time estimate for a degenerate diffusion equation with gradient absorption
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具有梯度吸收的简并扩散方程的爆炸时间估计
DOI：
10.1016/j.amc.2014.11.058
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发表时间：
2015-01
影响因子：
4
通讯作者：
Zheng, Sining
中科院分区：
文献类型：
--
作者：
Zhang, Qiuyun;Jiang, Zhaoxin;Zheng, Sining
This paper deals with a degenerate nonlinear diffusion equation with gradient absorption. We at first determine finite time blow-up of solutions both in the L∞-norm and an integral measure, and then estimate a lower bound of the blow-up time by using the differential inequality technique. It is mentioned that the blowing up of solutions to nonlinear PDEs is usually defined in the L∞-norms, while the lower bounds of blow-up time are all determined via some measures in the form of energy integrals. So, in general, to estimate the lower bounds of blow-up time, it has to be assumed that the solutions do blow up in finite time with the involved integral measure before establishing their lower bounds of blow-up time. Such assumptions are unnecessary in this paper.
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DOI：
--
发表时间：
2006
期刊：
Asymptot. Anal.
影响因子：
--
作者：
Jean-Philippe Bartier
通讯作者：
Jean-Philippe Bartier
DOI：
10.1090/s0002-9939-1991-1052569-9
发表时间：
1991-03
期刊：
--
影响因子：
--
作者：
M. Fila
通讯作者：
M. Fila
影响因子：
3.5
作者：
ALLEN, LJS
通讯作者：
ALLEN, LJS
影响因子：
1.3
作者：
L. Payne;J. C. Song
通讯作者：
L. Payne;J. C. Song
DOI：
10.1016/s0362-546x(97)00258-7
发表时间：
1997-12
影响因子：
1.4
作者：
P. Souplet;F. Weissler
通讯作者：
P. Souplet;F. Weissler