Journal
ACTA MATHEMATICA SCIENTIA
Volume 39, Issue 4, Pages 1185-1194Publisher
SPRINGER
DOI: 10.1007/s10473-019-0420-2
Keywords
Heat equation; Li-Yau-type gradient estimate; heat kernel
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Funding
- Yangfan project from Guangdong Province
- NSFC [11571215]
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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.
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