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On the Li-Yau type gradient estimate of Li and Xu
Published 20 Jun 2017 in math.DG | (1706.06249v1)
Abstract: In this paper, we obtain a Li-Yau type gradient estimate with time dependent parameter for positive solutions of the heat equation, so that the Li-Yau type gradient estimate of Li-Xu are special cases of the estimate. We also obtain improvements of Davies' Li-Yau type gradient estimate. The argument is different with those of Li-Xu and Qian.
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