Gradient estimates of Poisson equations on Riemannian manifolds and applications
文献类型：期刊论文
| 作者 | Wu, Liming1,2 |
| 刊名 | JOURNAL OF FUNCTIONAL ANALYSIS
 |
| 出版日期 | 2009-12-15 |
| 卷号 | 257期号:12页码:4015-4033 |
| 关键词 | Poisson equations Gradient estimates Transportation inequalities Isoperimetric inequalities |
| ISSN号 | 0022-1236 |
| DOI | 10.1016/j.jfa.2009.07.013 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000271728900011 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8675]  |
| 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.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Clermont Ferrand, CNRS, Lab Math Appl, UMR 6620, F-63177 Clermont Ferrand, France |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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