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math.AP2007★ 3 cited
Local gradient estimates of p-harmonic functions, 1/H-flow, and an entropy formula
Brett Kotschwar, Lei Ni
In the first part of this paper, we prove local interior and boundary gradient estimates for p-harmonic functions on general Riemannian manifolds. With these estimates, following t…
math.AP2007
Hamilton's gradient estimate for the heat kernel on complete manifolds
Brett Kotschwar
In this paper we extend a gradient estimate of R. Hamilton for positive solutions to the heat equation on closed manifolds to bounded positive solutions on complete, non-compact ma…