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^*

^*Corresponding author for this work

School of Mathematics and Statistics

Yangzhou University

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

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Manuscripta Mathematica
Volume	151
Issue number	1-2
DOIs	https://doi.org/10.1007/s00229-016-0825-3
Publication status	Published - 1 Sept 2016

Keywords

53C21
53C44

Access to Document

10.1007/s00229-016-0825-3

Cite this

@article{f965ae484ea6410e85db23c434ef1aa8,

title = "An upper bound of the heat kernel along the harmonic-Ricci flow",

abstract = "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{\textquoteright}s iteration. As an application, we will obtain an upper bound estimate for the heat kernel under the flow.",

keywords = "53C21, 53C44",

author = "Shouwen Fang and Tao Zheng",

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = sep,

day = "1",

doi = "10.1007/s00229-016-0825-3",

language = "English",

volume = "151",

pages = "1--18",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - An upper bound of the heat kernel along the harmonic-Ricci flow

AU - Fang, Shouwen

AU - Zheng, Tao

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

AB - 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.

KW - 53C21

KW - 53C44

UR - http://www.scopus.com/inward/record.url?scp=84957682918&partnerID=8YFLogxK

U2 - 10.1007/s00229-016-0825-3

DO - 10.1007/s00229-016-0825-3

M3 - Article

AN - SCOPUS:84957682918

SN - 0025-2611

VL - 151

SP - 1

EP - 18

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 1-2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this