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

Shouwen Fang; Tao Zheng

doi:10.1007/s00229-016-0825-3

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

Shouwen Fang, Tao Zheng^*

^*此作品的通讯作者

数学学院

Yangzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1-18
页数	18
期刊	Manuscripta Mathematica
卷	151
期	1-2
DOI	https://doi.org/10.1007/s00229-016-0825-3
出版状态	已出版 - 1 9月 2016

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10.1007/s00229-016-0825-3

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引用此

Fang, S., & Zheng, T. (2016). An upper bound of the heat kernel along the harmonic-Ricci flow. Manuscripta Mathematica, 151(1-2), 1-18. https://doi.org/10.1007/s00229-016-0825-3

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

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