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arxiv: 1705.07537 · v3 · pith:MPTBNZ5Wnew · submitted 2017-05-22 · 🧮 math.DG · math.AP

A note on Li-Yau type gradient estimate

classification 🧮 math.DG math.AP
keywords estimategradientli-yautypeciteestimatesapplicationdavies
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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.

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