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^*

^*此作品的通讯作者

数学科学学院

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1663-1680
页数	18
期刊	Transactions of the American Mathematical Society
卷	368
期	3
DOI	https://doi.org/10.1090/tran/6600
出版状态	已出版 - 3月 2016

访问文件

10.1090/tran/6600

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{86d453bd1bfa4a3d9550c282d7e6eb72,

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.",

keywords = "Davies type estimate, Gaussian bound, Heat kernel, Ricci flow",

author = "Meng Zhu",

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

year = "2016",

month = mar,

doi = "10.1090/tran/6600",

language = "英语",

volume = "368",

pages = "1663--1680",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Davies type estimate and the heat kernel bound under the ricci flow

AU - Zhu, Meng

PY - 2016/3

Y1 - 2016/3

N2 - 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.

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

U2 - 10.1090/tran/6600

DO - 10.1090/tran/6600

M3 - 文章

AN - SCOPUS:84955506508

SN - 0002-9947

VL - 368

SP - 1663

EP - 1680

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

摘要

访问文件

其它文件与链接

指纹

引用此