数学研究及应用2024,Vol.44Issue(4) :495-501.DOI:10.3770/j.issn:2095-2651.2024.04.008

Gradient Estimate for an Exponentially Harmonic Type Heat Equation on Riemannian Manifolds

Jianyi MAO Xinrong JIANG
数学研究及应用2024,Vol.44Issue(4) :495-501.DOI:10.3770/j.issn:2095-2651.2024.04.008

Gradient Estimate for an Exponentially Harmonic Type Heat Equation on Riemannian Manifolds

Jianyi MAO 1Xinrong JIANG1
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作者信息

  • 1. School of Mathematics and Statistics,Jiangxi Normal University,Jiangxi 330022,P.R.China
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Abstract

In this paper,we derive a Hamilton-Souplet-Zhang type gradient estimate for expo-nentially harmonic type heat equation on Riemannian manifolds.As its application,we obtain a Liouville type theorem.

Key words

Gradient estimate/exponentially harmonic type heat equation/Riemannian mani-fold/Liouville theorem

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基金项目

National Natural Science Foundation of China(11661043)

Foundation of Education Department of Jiangxi Province(GJJ2200320)

出版年

2024
数学研究及应用
大连理工大学

数学研究及应用

影响因子:0.094
ISSN:2095-2651
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