Local gradient estimates for heat equation on 𝑅𝐶𝐷*(𝑘,𝑛) metric measure spaces

Huang, Jia-Cheng

doi:10.1090/proc/14185

Local gradient estimates for heat equation on $RCD^*(k,n)$ metric measure spaces
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by Jia-Cheng Huang

Proc. Amer. Math. Soc. 146 (2018), 5391-5407

DOI: https://doi.org/10.1090/proc/14185

Published electronically: September 4, 2018

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Abstract:

In this paper, we will establish a local gradient estimate and a Liouville type theorem for weak solutions of the heat equation on $RCD^*(K,N)$ metric measure spaces.

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