Sharp Logarithmic Sobolev inequalities along an extended Ricci flow and applications

Guoqiang Wu; Yu Zheng

doi:10.2140/pjm.2019.298.483

Sharp Logarithmic Sobolev inequalities along an extended Ricci flow and applications

Guoqiang Wu
, Yu Zheng

数学科学学院

Zhejiang Sci-Tech University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

We prove a sharp Logarithmic Sobolev inequality along an extended Ricci flow. As applications, we derive an integral bound for the conjugate heat kernel and also obtain Lipschitz continuity of the pointed Nash entropy. Finally, based on these results, we prove an ε-regularity theorem for this extended Ricci flow.

源语言	英语
页（从-至）	483-509
页数	27
期刊	Pacific Journal of Mathematics
卷	298
期	2
DOI	https://doi.org/10.2140/pjm.2019.298.483
出版状态	已出版 - 2019

访问文件

10.2140/pjm.2019.298.483

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{9925a38e16df40f1ad4152cf0b7f508a,

title = "Sharp Logarithmic Sobolev inequalities along an extended Ricci flow and applications",

abstract = "We prove a sharp Logarithmic Sobolev inequality along an extended Ricci flow. As applications, we derive an integral bound for the conjugate heat kernel and also obtain Lipschitz continuity of the pointed Nash entropy. Finally, based on these results, we prove an ε-regularity theorem for this extended Ricci flow.",

keywords = "Conjugate heat kernel, Logarithmic Sobolev inequalities, ε-regularity",

author = "Guoqiang Wu and Yu Zheng",

note = "Publisher Copyright: {\textcopyright} 2019 Mathematical Sciences Publishers.",

year = "2019",

doi = "10.2140/pjm.2019.298.483",

language = "英语",

volume = "298",

pages = "483--509",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "2",

}

TY - JOUR

T1 - Sharp Logarithmic Sobolev inequalities along an extended Ricci flow and applications

AU - Wu, Guoqiang

AU - Zheng, Yu

PY - 2019

Y1 - 2019

N2 - We prove a sharp Logarithmic Sobolev inequality along an extended Ricci flow. As applications, we derive an integral bound for the conjugate heat kernel and also obtain Lipschitz continuity of the pointed Nash entropy. Finally, based on these results, we prove an ε-regularity theorem for this extended Ricci flow.

AB - We prove a sharp Logarithmic Sobolev inequality along an extended Ricci flow. As applications, we derive an integral bound for the conjugate heat kernel and also obtain Lipschitz continuity of the pointed Nash entropy. Finally, based on these results, we prove an ε-regularity theorem for this extended Ricci flow.

KW - Conjugate heat kernel

KW - Logarithmic Sobolev inequalities

KW - ε-regularity

UR - https://www.scopus.com/pages/publications/85065784149

U2 - 10.2140/pjm.2019.298.483

DO - 10.2140/pjm.2019.298.483

M3 - 文章

AN - SCOPUS:85065784149

SN - 0030-8730

VL - 298

SP - 483

EP - 509

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Sharp Logarithmic Sobolev inequalities along an extended Ricci flow and applications

摘要

访问文件

其它文件与链接

学术指纹

引用此