EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION

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	EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION
其他题名	Existence and nonexistence of global solution of nonlinear parabolic equation with nonlinear boundary condition
	Wu YH(吴永辉); Wang MX(王明新)
	1995
发表期刊	数学年刊：B辑英文版
ISSN	0252-9599
卷号	16.0 期号:003 页码:371-378
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.
其他摘要	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.
关键词	存在性全局解非线性抛物型偏微分方程边界条件
收录类别	CSCD
语种	中文
CSCD记录号	CSCD:260857
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/56870
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. EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION[J]. 数学年刊：B辑英文版,1995,16.0(003):371-378.
APA	吴永辉,&王明新.(1995).EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION.数学年刊：B辑英文版,16.0(003),371-378.
MLA	吴永辉,et al."EXISTENCE AND NONEXISTENCE OF GLOBAL SOLUTION OF NONLINEAR PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITION".数学年刊：B辑英文版 16.0.003(1995):371-378.