Local Li-Yau's estimates on RCD(K, N) metric measure spaces
Local Li-Yau's estimates on RCD(K, N) metric measure spaces
复制标题
本地 Li-Yau 对 RCD(K, N) 度量测度空间的估计
DOI:
10.1007/s00526-016-1040-5
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发表时间:
2016
影响因子:
2.1
通讯作者:
Zhu Xi-Ping
中科院分区:
文献类型:
--
作者:
Zhang Hui-Chun;Zhu Xi-Ping
In this paper, we will study the (linear) geometric analysis on metric measure spaces. We will establish a local Li–Yau’s estimate for weak solutions of the heat equation and prove a sharp Yau’s gradient for harmonic functions on metric measure spaces, under the Riemannian curvature-dimension conditionRCD.