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Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds
Published 20 Feb 2023 in math.DG and math.AP | (2302.09733v4)
Abstract: 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 the positive solutions of the CR heat equation, and then obtain an upper bound estimate for the corresponding heat kernel.
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