Li-yau gradient estimate and entropy formulae for the cr heat equation in a closed pseudohermitian 3-manifold

Shu Cheng Chang*, Ting Jung Kuo, Sin Hua Lai

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

19 引文 斯高帕斯(Scopus)

摘要

In this paper, we derive two subgradient estimates of the CR heat equation in a closed pseudohermitian 3-manifold which are served as the CR version of the Li-Yau gradient estimate. With its applications, we first get a subgradient estimate of the logarithm of the positive solution of the CR heat equation. Secondly, we have the Harnack inequality and upper bound estimate for the heat kernel. Finally, we obtain Perelman-type entropy formulae for the CR heat equation.

原文英語
頁(從 - 到)185-216
頁數32
期刊Journal of Differential Geometry
89
發行號2
DOIs
出版狀態已發佈 - 2011
對外發佈

ASJC Scopus subject areas

  • 分析
  • 代數與數理論
  • 幾何和拓撲

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