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arXiv:0907.1440 [math.DG]AbstractReferencesReviewsResources

Gradient estimate for the Poisson equation and the non-homogeneous heat equation on compact Riemannian manifolds

Li Ma, Liang Cheng

Published 2009-07-09Version 1

In this short note, we study the gradient estimate of positive solutions to Poisson equation and the non-homogeneous heat equation in a compact Riemannian manifold (M^n,g). Our results extend the gradient estimate for positive harmonic functions and positive solutions to heat equations.

Comments: 6 pages
Categories: math.DG, math.AP
Subjects: 35J60, 53C21
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