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
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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
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.
