Blow-up phenomena for a class of metaparabolic equations with time dependent coecient
Blow-up phenomena for a class of metaparabolic equations with time dependent coecient
复制标题
一类含时变系数的元抛物方程的爆炸现象
DOI：
10.3934/math.2017.4.647
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发表时间：
2017
期刊：
影响因子：
2.2
通讯作者：
Shang Yadong
中科院分区：
文献类型：
--
作者：
Di Huafei;Shang Yadong
本文研究了一类含时变系数的代谢物方程的初边值问题。在初始数据的适当条件下，给出了保证u不能一直存在的爆破判据，并导出了爆破时间的上界。此外,我们。同时利用微分不等式的方法求得了爆炸时间的下界。
This paper deals with the initial boundary value problem for a metaparabolic equations with time dependent coecient. Under suitable conditions on initial data, a blow-up criterion which ensures that u cannot exist all time is given, and an upper bound for blow up time is derived. Moreover, we.also obtain a lower bound for blow-up time if blow up does occur by means of a dierential inequality technique.