194 research outputs found
Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds
In this paper, we derive local and global Li-Yau type gradient estimates for
the positive solutions of the CR heat equation on complete noncompact
pseudo-Hermitian manifolds. As applications of the gradient estimates, we give
a Harnack inequality for positive solutions of the CR heat equation, and then
obtain an upper bound estimate for the corresponding heat kernel.Comment: All comments welcome
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