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

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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.

Gradient estimateexponentially harmonic type heat equationRiemannian mani-foldLiouville theorem

Jianyi MAO、Xinrong JIANG

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

National Natural Science Foundation of ChinaFoundation of Education Department of Jiangxi Province

11661043GJJ2200320

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
年,卷(期):2024.44(4)