Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds
文献类型：期刊论文
| 作者 | Li, Xiang-Dong
|
| 刊名 | STOCHASTIC PROCESSES AND THEIR APPLICATIONS
 |
| 出版日期 | 2016-04-01 |
| 卷号 | 126期号:4页码:1264-1283 |
| 关键词 | Hamilton's Harnack inequality Gradient estimates Logarithmic heat kernel Witten Laplacian W-entropy formula |
| ISSN号 | 0304-4149 |
| DOI | 10.1016/j.spa.2015.11.002 |
| 英文摘要 | In this paper, we prove Hamilton's Harnack inequality and the gradient estimates of the logarithmic heat kernel for the Witten Laplacian on complete Riemannian manifolds. As applications, we prove the W-entropy formula for the Witten Laplacian on complete Riemannian manifolds, and prove a family of logarithmic Sobolev inequalities on complete Riemannian manifolds with natural geometric condition. (C) 2015 Elsevier B.V. All rights reserved. |
| 语种 | 英语 |
| WOS记录号 | WOS:000371837800012 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/22226]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Xiang-Dong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Xiang-Dong. Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS,2016,126(4):1264-1283. |
| APA | Li, Xiang-Dong.(2016).Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds.STOCHASTIC PROCESSES AND THEIR APPLICATIONS,126(4),1264-1283. |
| MLA | Li, Xiang-Dong."Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds".STOCHASTIC PROCESSES AND THEIR APPLICATIONS 126.4(2016):1264-1283. |
入库方式： OAI收割
来源：数学与系统科学研究院
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