Davies type estimate and the heat kernel bound under the ricci flow

Meng Zhu

doi:10.1090/tran/6600

Davies type estimate and the heat kernel bound under the ricci flow

Meng Zhu^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove a Davies type double integral estimate for the heat kernel H(y, t; x, l) under the Ricci flow. As a result, we give an affirmative answer to a question proposed by Chow et al. Moreover, we apply the Davies type estimate to provide a new proof of the Gaussian upper and lower bounds of H(y, t; x, l) which were first shown in 2011 by Chan, Tam, and Yu.

Original language	English
Pages (from-to)	1663-1680
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	368
Issue number	3
DOIs	https://doi.org/10.1090/tran/6600
State	Published - Mar 2016

Keywords

Davies type estimate
Gaussian bound
Heat kernel
Ricci flow

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10.1090/tran/6600

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title = "Davies type estimate and the heat kernel bound under the ricci flow",

abstract = "We prove a Davies type double integral estimate for the heat kernel H(y, t; x, l) under the Ricci flow. As a result, we give an affirmative answer to a question proposed by Chow et al. Moreover, we apply the Davies type estimate to provide a new proof of the Gaussian upper and lower bounds of H(y, t; x, l) which were first shown in 2011 by Chan, Tam, and Yu.",

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note = "Publisher Copyright: {\textcopyright} 2015 American Mathematical Society.",

year = "2016",

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AB - We prove a Davies type double integral estimate for the heat kernel H(y, t; x, l) under the Ricci flow. As a result, we give an affirmative answer to a question proposed by Chow et al. Moreover, we apply the Davies type estimate to provide a new proof of the Gaussian upper and lower bounds of H(y, t; x, l) which were first shown in 2011 by Chan, Tam, and Yu.

KW - Davies type estimate

KW - Gaussian bound

KW - Heat kernel

KW - Ricci flow

UR - https://www.scopus.com/pages/publications/84955506508

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DO - 10.1090/tran/6600

M3 - 文章

AN - SCOPUS:84955506508

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 3

ER -

Davies type estimate and the heat kernel bound under the ricci flow

Abstract

Keywords

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