HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS

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	HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS
	Zhu, Xiaobao
	2011-05-01
发表期刊	PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9939
卷号	139 期号:5 页码:1637-1644
摘要	Let M be a complete noncompact Riemannian manifold of dimension n. In this paper, we derive a local gradient estimate for positive solutions of fast diffusion equations partial derivative(t)u = Delta u(alpha), 1 - 2/n < alpha < 1 on M x (-infinity, 0]. We also obtain a theorem of Lionville type for positive solutions of the fast diffusion equation.
关键词	Gradient estimate fast diffusion equation Lionville theorem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000290511400012
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13008
专题	中国科学院数学与系统科学研究院
通讯作者	Zhu, Xiaobao
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Xiaobao. HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2011,139(5):1637-1644.
APA	Zhu, Xiaobao.(2011).HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,139(5),1637-1644.
MLA	Zhu, Xiaobao."HAMILTON'S GRADIENT ESTIMATES AND LIOUVILLE THEOREMS FOR FAST DIFFUSION EQUATIONS ON NONCOMPACT RIEMANNIAN MANIFOLDS".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139.5(2011):1637-1644.