Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LI-YAU GRADIENT ESTIMATES ON CLOSED MANIFOLDS UNDER BAKRY-ÉMERY RICCI CURVATURE CONDITIONS

  • XingYu Song (School of Mathematical Sciences and Shanghai Key Laboratory of PMMP East China Normal University) ;
  • Ling Wu (School of Mathematical Sciences and Shanghai Key Laboratory of PMMP East China Normal University)
  • Received : 2022.11.26
  • Accepted : 2023.03.16
  • Published : 2023.09.01
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Abstract

In this paper, motivated by the work of Q. S. Zhang in [25], we derive optimal Li-Yau gradient bounds for positive solutions of the f-heat equation on closed manifolds with Bakry-Émery Ricci curvature bounded below.

Keywords

Acknowledgement

Research is partially supported by NSFC Grant No. 11971168, Shanghai Science and Technology Innovation Program Basic Research Project STCSM 20JC1412900, and Science and Technology Commission of Shanghai Municipality (STCSM) No. 22DZ2229014.

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