Blow‐up phenomena for a pseudo‐parabolic equation

Blow‐up phenomena for a pseudo‐parabolic equation
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DOI:
10.1002/mma.3253
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发表时间:
2015-08
影响因子:
2.9
通讯作者:
Peng Luo
Peng Luo
中科院分区:
数学4区
文献类型:
--
作者:
Peng Luo

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利用微分不等式技巧,当p和初值满足一定条件时,我们得到了爆破时间的下界。在一定条件下,我们建立了爆破准则和爆破时间的上界;在其他条件下,我们建立了非爆破和指数衰减的爆破准则。版权所有©2014 John Wiley&Sons,Ltd.
By the means of a differential inequality technique, we obtain a lower bound for blow‐up time if p and the initial value satisfy some conditions. Also, we establish a blow‐up criterion and an upper bound for blow‐up time under some conditions as well as a nonblow‐up and exponential decay under some other conditions. Copyright © 2014 John Wiley & Sons, Ltd.