Off-diagonal lower estimates and Hölder regularity of the heat kernel

Alexander Grigor'yan University of Bielefeld, Germany Eryan Hu Tianjin University, China Jiaxin Hu Tsinghua University, China

Geometric Analysis and Geometric Topology mathscidoc:2212.15002

2022.12
We study the heat kernel of a regular symmetric Dirichlet form on a metric space with doubling measure, in particular, a connection between the properties of the jump measure and the long time behaviour of the heat kernel. Under appropriate optimal hypotheses, we obtain the Hölder regularity and lower estimates of the heat kernel.
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@inproceedings{alexander2022off-diagonal,
  title={Off-diagonal lower estimates and Hölder regularity of the heat kernel},
  author={Alexander Grigor'yan, Eryan Hu, and Jiaxin Hu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20221231064122482977743},
  year={2022},
}
Alexander Grigor'yan, Eryan Hu, and Jiaxin Hu. Off-diagonal lower estimates and Hölder regularity of the heat kernel. 2022. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20221231064122482977743.
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