Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface

Jia Yong Wu; Yu Zheng

doi:10.1007/s00013-010-0135-z

Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface

Jia Yong Wu, Yu Zheng

School of Mathematical Sciences

East China Normal University

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

7 Scopus citations

Abstract

We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for the heat equation to the constrained trace Chow-Hamilton Harnack inequality for the Ricci flow on a 2-dimensional closed manifold with positive scalar curvature, and thereby generalize Chow's interpolated Harnack inequality (J. Partial Diff. Eqs. 11 (1998), 137-140).

Original language	English
Pages (from-to)	591-600
Number of pages	10
Journal	Archiv der Mathematik
Volume	94
Issue number	6
DOIs	https://doi.org/10.1007/s00013-010-0135-z
State	Published - 2010

Keywords

Constrained Harnack inequality
Harnack inequality
Interpolated Harnack inequality
Ricci flow

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10.1007/s00013-010-0135-z

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title = "Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface",

abstract = "We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for the heat equation to the constrained trace Chow-Hamilton Harnack inequality for the Ricci flow on a 2-dimensional closed manifold with positive scalar curvature, and thereby generalize Chow's interpolated Harnack inequality (J. Partial Diff. Eqs. 11 (1998), 137-140).",

keywords = "Constrained Harnack inequality, Harnack inequality, Interpolated Harnack inequality, Ricci flow",

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AU - Wu, Jia Yong

AU - Zheng, Yu

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N2 - We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for the heat equation to the constrained trace Chow-Hamilton Harnack inequality for the Ricci flow on a 2-dimensional closed manifold with positive scalar curvature, and thereby generalize Chow's interpolated Harnack inequality (J. Partial Diff. Eqs. 11 (1998), 137-140).

AB - We establish a one-parameter family of Harnack inequalities connecting the constrained trace Li-Yau differential Harnack inequality for the heat equation to the constrained trace Chow-Hamilton Harnack inequality for the Ricci flow on a 2-dimensional closed manifold with positive scalar curvature, and thereby generalize Chow's interpolated Harnack inequality (J. Partial Diff. Eqs. 11 (1998), 137-140).

KW - Constrained Harnack inequality

KW - Harnack inequality

KW - Interpolated Harnack inequality

KW - Ricci flow

UR - https://www.scopus.com/pages/publications/77953321788

U2 - 10.1007/s00013-010-0135-z

DO - 10.1007/s00013-010-0135-z

M3 - 文章

AN - SCOPUS:77953321788

SN - 0003-889X

VL - 94

SP - 591

EP - 600

JO - Archiv der Mathematik

JF - Archiv der Mathematik

IS - 6

ER -

Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface

Abstract

Keywords

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