GRADIENT ESTIMATES FOR SOLUTIONS OF THE HEAT EQUATION UNDER RICCI FLOW
文献类型：期刊论文
| 作者 | Liu, Shiping |
| 刊名 | PACIFIC JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2009-11-01 |
| 卷号 | 243期号:1页码:165-180 |
| 关键词 | gradient estimate Ricci flow heat equation Harnack inequality |
| ISSN号 | 0030-8730 |
| 英文摘要 | We establish first order gradient estimates for positive solutions of the heat equations on complete noncompact or closed Riemannian manifolds under Ricci flows. These estimates improve Guenther's results by weakening the curvature constraints. We also obtain a result for arbitrary solutions on closed manifolds under Ricci flows. As applications, we derive Harnack-type inequalities and second order gradient estimates for positive solutions of the heat equations under Ricci flow. The results in this paper can be considered as generalizing the estimates of Li-Yau and J. Y. Li to the Ricci flow setting. |
| 语种 | 英语 |
| WOS记录号 | WOS:000272030500006 |
| 出版者 | PACIFIC JOURNAL MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7958]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, Shiping |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, Shiping. GRADIENT ESTIMATES FOR SOLUTIONS OF THE HEAT EQUATION UNDER RICCI FLOW[J]. PACIFIC JOURNAL OF MATHEMATICS,2009,243(1):165-180. |
| APA | Liu, Shiping.(2009).GRADIENT ESTIMATES FOR SOLUTIONS OF THE HEAT EQUATION UNDER RICCI FLOW.PACIFIC JOURNAL OF MATHEMATICS,243(1),165-180. |
| MLA | Liu, Shiping."GRADIENT ESTIMATES FOR SOLUTIONS OF THE HEAT EQUATION UNDER RICCI FLOW".PACIFIC JOURNAL OF MATHEMATICS 243.1(2009):165-180. |
入库方式： OAI收割
来源：数学与系统科学研究院
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