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A note on Li-Yau type gradient estimate

Differential Geometry 2018-07-30 v3 Analysis of PDEs

Abstract

In this paper, we obtain Li-Yau type gradient estimates with time dependent parameter for positive solutions of the heat equation that are different with the estimates by Li-Xu \cite{LX} and Qian \cite{Qi}. As an application of the estimate, we also obtained improvements of Davies' Li-Yau type gradient estimate.

Keywords

Cite

@article{arxiv.1705.07537,
  title  = {A note on Li-Yau type gradient estimate},
  author = {Chengjie Yu and Feifei Zhao},
  journal= {arXiv preprint arXiv:1705.07537},
  year   = {2018}
}

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R2 v1 2026-06-22T19:54:09.811Z