Local Li-Yau’s estimates on RCD*(K,N) metric measure spaces

Hui-Chun Zhang Sun Yat-sen University Xi-Ping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1609.10097

Calc. Var. & PDE, 55, (4), 93, 2016
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 gradient for harmonic functions on metric measure spaces, under the Riemannian curvature-dimension condition RCD(K; N).
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  title={local Li-Yau’s estimates on RCD*(K,N) metric measure spaces},
  author={Hui-Chun Zhang, and Xi-Ping Zhu},
  booktitle={ Calc. Var. & PDE},
Hui-Chun Zhang, and Xi-Ping Zhu. local Li-Yau’s estimates on RCD*(K,N) metric measure spaces. 2016. Vol. 55. In Calc. Var. & PDE. pp.93. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160910111251444032754.
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