GRADIENT ESTIMATES FOR POSITIVE SOLUTIONS OF THE HEAT EQUATION UNDER GEOMETRIC FLOW
文献类型：期刊论文
| 作者 | Sun, Jun |
| 刊名 | PACIFIC JOURNAL OF MATHEMATICS
 |
| 出版日期 | 2011-10-01 |
| 卷号 | 253期号:2页码:489-510 |
| 关键词 | gradient estimate geometric flow heat equation Harnack inequality |
| ISSN号 | 0030-8730 |
| 英文摘要 | We establish first- and second-order gradient estimates for positive solutions of the heat equations under general geometric flows. Our results generalize the recent work of S. Liu, who established similar results for the Ricci flow. Both results can also be considered as the generalization of P. Li, S. T. Yau, and J. Li's gradient estimates under geometric flow setting. We also give an application to the mean curvature flow. |
| 语种 | 英语 |
| WOS记录号 | WOS:000299688200011 |
| 出版者 | PACIFIC JOURNAL MATHEMATICS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11855]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Sun, Jun |
| 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 | Sun, Jun. GRADIENT ESTIMATES FOR POSITIVE SOLUTIONS OF THE HEAT EQUATION UNDER GEOMETRIC FLOW[J]. PACIFIC JOURNAL OF MATHEMATICS,2011,253(2):489-510. |
| APA | Sun, Jun.(2011).GRADIENT ESTIMATES FOR POSITIVE SOLUTIONS OF THE HEAT EQUATION UNDER GEOMETRIC FLOW.PACIFIC JOURNAL OF MATHEMATICS,253(2),489-510. |
| MLA | Sun, Jun."GRADIENT ESTIMATES FOR POSITIVE SOLUTIONS OF THE HEAT EQUATION UNDER GEOMETRIC FLOW".PACIFIC JOURNAL OF MATHEMATICS 253.2(2011):489-510. |
入库方式： OAI收割
来源：数学与系统科学研究院
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