Gradient estimates of Poisson equations on Riemannian manifolds and applications

doi:10.1016/j.jfa.2009.07.013

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	Gradient estimates of Poisson equations on Riemannian manifolds and applications
	Wu, Liming 1,2
	2009-12-15
发表期刊	JOURNAL OF FUNCTIONAL ANALYSIS
ISSN	0022-1236
卷号	257 期号:12 页码:4015-4033
摘要	For the reflected diffusion generated by L = Delta - Delta V.del on a connected and complete Riemannian manifold M with empty or convex boundary, we establish some sharp estimates of sup(x is an element of M)vertical bar del G vertical bar(x) of the Poisson equation -LG = g in terms of the dimension, the diameter and the lower bound of curvature. Applications to transportation-information inequality, to Cheegcr's isoperimetric inequality and to Gaussian concentration inequality are given. Several examples are provided. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Poisson equations Gradient estimates Transportation inequalities Isoperimetric inequalities
DOI	10.1016/j.jfa.2009.07.013
语种	英语
资助项目	ANR project IFO ; Chinese NSF
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000271728900011
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8676
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, Liming
作者单位	1.Univ Clermont Ferrand, CNRS, Lab Math Appl, UMR 6620, F-63177 Clermont Ferrand, France 2.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wu, Liming. Gradient estimates of Poisson equations on Riemannian manifolds and applications[J]. JOURNAL OF FUNCTIONAL ANALYSIS,2009,257(12):4015-4033.
APA	Wu, Liming.(2009).Gradient estimates of Poisson equations on Riemannian manifolds and applications.JOURNAL OF FUNCTIONAL ANALYSIS,257(12),4015-4033.
MLA	Wu, Liming."Gradient estimates of Poisson equations on Riemannian manifolds and applications".JOURNAL OF FUNCTIONAL ANALYSIS 257.12(2009):4015-4033.