An upper bound of the heat kernel along the harmonic-Ricci flow

作者：Fang, Shouwen; Zheng, Tao^*

来源：Manuscripta Mathematica, 2016, 151(1-2): 1-18.

DOI：10.1007/s00229-016-0825-3

• SOBOLEV INEQUALITIES
• EQUATION

In this paper, we first derive a Sobolev inequality along the harmonic-Ricci flow. We then prove a linear parabolic estimate based on the Sobolev inequality and Moser's iteration. As an application, we will obtain an upper bound estimate for the heat kernel under the flow.

• 出版日期2016-9
• 单位扬州大学; 北京理工大学