existenceandnonexistenceofglobalsolutionofnonlinearparabolicequationwithnonlinearboundarycondition

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	existenceandnonexistenceofglobalsolutionofnonlinearparabolicequationwithnonlinearboundarycondition
	Wu YH(吴永辉); Wang MX(王明新)
	1995
发表期刊	chineseannalsofmathematicsseriesb
ISSN	0252-9599
卷号	016 期号:003 页码:371
摘要	This paper deals with the existence and nonexistence of global positive solution of the following equation:{ut=△(u^q-1 u)-αu^m x∈Ω,t＞0/Эu/Эn=u^p x∈ЭΩ,t＞0/u(x,0)=u0(x)＞0 x∈Ω1^-where p1q3 m,α are parameters with q≥1,m1 p>01>α≥0,Ω R^N is a bounded domain with ЭΩ smooth enough,N≥1. The necessary and sufficient conditions for the global existence of solution are obtained.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/36101
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Wu YH,Wang MX. existenceandnonexistenceofglobalsolutionofnonlinearparabolicequationwithnonlinearboundarycondition[J]. chineseannalsofmathematicsseriesb,1995,016(003):371.
APA	吴永辉,&王明新.(1995).existenceandnonexistenceofglobalsolutionofnonlinearparabolicequationwithnonlinearboundarycondition.chineseannalsofmathematicsseriesb,016(003),371.
MLA	吴永辉,et al."existenceandnonexistenceofglobalsolutionofnonlinearparabolicequationwithnonlinearboundarycondition".chineseannalsofmathematicsseriesb 016.003(1995):371.