Some remarks on gradient estimates for heat kernels

This paper is concerned with pointwise estimates for the gradient of the heat kernel Kt, t>0, of the Laplace operator on a Riemannian manifold M. Under standard assumptions on M, we show that ∇Kt satisfies Gaussian bounds if and only if it satisfies certain uniform estimates or estimates in Lp fo...

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Bibliographic Details
Main Author: Nick Dungey
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/AAA/2006/73020
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