ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL

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	ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL
	Liu, Zhaoxia 1; Han, Pigong2
	2007
发表期刊	DIFFERENTIAL AND INTEGRAL EQUATIONS
ISSN	0893-4983
卷号	20 期号:1 页码:27-50
摘要	In this paper, we study a class of parabolic equations with critical Sobolev exponents and Hardy terms. Using Moser-type iteration, we characterize the asymptotic behavior of solutions at singular points. By means of critical point theory and the potential well method, we prove both global existence and finite-time blow-up depending on the initial datum.
语种	英语
资助项目	National Natural Science Foundation ; Chinese Academy of Sciences, P. R. China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208719100002
出版者	KHAYYAM PUBL CO INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5273
专题	应用数学研究所
通讯作者	Liu, Zhaoxia
作者单位	1.Cent Univ Nationalities, Sch Math & Comp Sci, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Zhaoxia,Han, Pigong. ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS,2007,20(1):27-50.
APA	Liu, Zhaoxia,&Han, Pigong.(2007).ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL.DIFFERENTIAL AND INTEGRAL EQUATIONS,20(1),27-50.
MLA	Liu, Zhaoxia,et al."ON A CLASS OF CRITICAL HEAT EQUATIONS WITH AN INVERSE SQUARE POTENTIAL".DIFFERENTIAL AND INTEGRAL EQUATIONS 20.1(2007):27-50.