Subgradient Estimate and Liouville-type Theorem for the CR Heat Equation on Heisenberg Groups
Resource
Asian journal of mathematics, 14(1), 41-72
Journal
Asian Journal of Mathematics
Pages
41-72
Date Issued
2010
Date
2010
Author(s)
Abstract
In this paper, we first get a subgradient estimate of the CR heat equation on a closed pseudohermitian (2n + 1)-manifold. Secondly, by deriving the CR version of sub-Laplacian comparison theorem on an (2n + 1)-dimensional Heisenberg group H n , we are able to establish a subgradient estimate and then the Liouville-type theorem for the CR heat equation on H n .
Type
journal article
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