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

研究成果: Article査読

15 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)185-216
ページ数32
ジャーナルJournal of Differential Geometry
89
2
出版ステータスPublished - 2011 12
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology

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