数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1185-1194.doi: 10.1007/s10473-019-0420-2

• 论文 • 上一篇    下一篇

A NOTE ON LI-YAU-TYPE GRADIENT ESTIMATE

余成杰, 赵菲菲   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • 收稿日期:2018-06-08 修回日期:2018-07-13 出版日期:2019-08-25 发布日期:2019-09-12
  • 作者简介:Chengjie YU,E-mail:cjyu@stu.edu.cn;Feifei ZHAO,E-mail:14ffzhao@stu.edu.cn
  • 基金资助:
    The first author is partially supported by the Yangfan project from Guangdong Province and NSFC (11571215).

A NOTE ON LI-YAU-TYPE GRADIENT ESTIMATE

Chengjie YU, Feifei ZHAO   

  1. Department of Mathematics, Shantou University, Shantou 515063, China
  • Received:2018-06-08 Revised:2018-07-13 Online:2019-08-25 Published:2019-09-12
  • Supported by:
    The first author is partially supported by the Yangfan project from Guangdong Province and NSFC (11571215).

摘要: In this article, we obtain Li-Yau-type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu[21] and Qian[23]. As an application of the estimate, we also obtained slight improvements of Davies' Li-Yau-type gradient estimate.

关键词: Heat equation, Li-Yau-type gradient estimate, heat kernel

Abstract: In this article, we obtain Li-Yau-type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu[21] and Qian[23]. As an application of the estimate, we also obtained slight improvements of Davies' Li-Yau-type gradient estimate.

Key words: Heat equation, Li-Yau-type gradient estimate, heat kernel

中图分类号: 

  • 35K05