A generalization of Hamilton鈥檚 gradient estimate

详细信息	查看全文 | 推荐本文 |

• 作者：Bin Qian ; ^{binqiancn@yahoo.com.cn} ; ^{binqiancn@gmail.com}
• 关键词：60J60 ; 58J65 ; 58J35
• 刊名：Journal of Geometry and Physics
• 出版年：2012
• 期刊代码：29_03930440
• 类别：ph
• 出版时间：May, 2012
• 卷：62
• 期：5
• 页码：1064-1069
• 文件大小：206 K

摘要

In this short note, we obtain a 鈥?gradient estimate鈥?for bounded solutions to the heat equation on compact Riemannian manifolds, which generalizes the well-known Hamilton gradient estimate [R.S.聽Hamilton, A matrix Harnack estimate for the heat equation, Comm. Anal. Geom. 1 (1993) 113-126]. We derive as applications some useful estimates for the -entropy and the associated heat kernel.