Abstract
We present some improvements of the Li-Yau heat kernel estimate on a Riemannian manifold with Ricci curvature bounded below. As a consequence we prove a gradient estimate to the heat kernel with an optimal leading term.
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Supported by National Natural Science Foundation of China (Grant Nos. 11926339, 11821101)
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Li, L., Zhang, Z.L. On Li-Yau Heat Kernel Estimate. Acta. Math. Sin.-English Ser. 37, 1205–1218 (2021). https://doi.org/10.1007/s10114-021-0588-y
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DOI: https://doi.org/10.1007/s10114-021-0588-y