Gradient Estimate for an Exponentially Harmonic Type Heat Equation on Riemannian Manifolds
Received:September 02, 2023  Revised:February 04, 2024
Key Words: Gradient estimate   exponentially harmonic type heat equation   Riemannian manifold   Liouville theorem  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11661043) and the Foundation of Education Department of Jiangxi Province (Grant No.GJJ2200320).
Author NameAffiliation
Jianyi MAO School of Mathematics and Statistics, Jiangxi Normal University, Jiangxi 330022, P. R. China 
Xinrong JIANG 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 exponentially harmonic type heat equation on Riemannian manifolds. As its application, we obtain a Liouville type theorem.
Citation:
DOI:10.3770/j.issn:2095-2651.2024.04.008
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