Sharp Hamilton's Laplacian estimate for the heat kernel on complete manifolds
Sharp Hamilton's Laplacian estimate for the heat kernel on complete manifolds
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DOI：
10.1090/s0002-9939-2013-11926-x
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发表时间：
2013-05
期刊：
影响因子：
--
通讯作者：
Jia-Yong Wu
中科院分区：
文献类型：
--
作者：
Jia-Yong Wu
本文给出了具有非负Ricci曲率的完全非紧流形上热方程的Hamilton拉普拉斯估计。作为应用，结合Li-Yau的热核下界和上界，给出了欧几里德空间上具有非负Ricci曲率的完全流形上热核的拉普拉斯形式的估计，该估计在时间参数的顺序上是尖锐的。
In this paper we give Hamilton's Laplacian estimates for the heat equation on complete noncompact manifolds with nonnegative Ricci curvature. As an application, combining Li-Yau's lower and upper bounds of the heat kernel, we give an estimate on Laplacian form of the heat kernel on complete manifolds with nonnegative Ricci curvature that is sharp in the order of time parameter for the heat kernel on the Euclidean space.