Gradient Estimate for the Poisson Equation and the Non-homogeneous Heat Equation on Compact Riemannian Manifolds
نویسندگان
چکیده
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 (Mn, g). Our results extend the gradient estimate for positive harmonic functions and positive solutions to heat equations. Mathematics Subject Classification (2000): 35J60, 53C21, 58J05
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تاریخ انتشار 2009