Cr Li-Yau gradient estimate for witten Laplacian via Bakry-Emery Pseudohermitian Ricci Curvature

Der Chen Chang, Shu Cheng Chang, Ting Jung Kuo, Sin Hua Lai

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper, we derive the sub-gradient estimate of the CR heat equation associated with the Witten sub-Laplacian via the Bakry-Emery Pseudohermitian Ricci Curvature. With its applications, we first get a Harnack inequality for the positive solution of this CR heat equation in a closed pseudohermitian (2n + 1)-manifold. Secondly, we obtain Perelman-type linear entropy formulae for this CR heat equation.

原文英語
頁(從 - 到)223-256
頁數34
期刊Asian Journal of Mathematics
22
發行號2
DOIs
出版狀態已發佈 - 2018
對外發佈Yes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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