In this article, 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[21] and Qian[23]. As an application of the estimate, we also obtained slight improvements of Davies' Li-Yau-type gradient estimate.
Chengjie YU
,
Feifei ZHAO
. A NOTE ON LI-YAU-TYPE GRADIENT ESTIMATE[J]. Acta mathematica scientia, Series B, 2019
, 39(4)
: 1185
-1194
.
DOI: 10.1007/s10473-019-0420-2
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