# Some gradient estimates for a diffusion equation on Riemannian manifolds

Authors
Type
Preprint
Publication Date
Apr 23, 2008
Submission Date
Jul 26, 2007
Source
arXiv
In this note we present some gradient estimates for the diffusion equation $\partial_t u=\Delta u-\nabla \phi \cdot \nabla u$ on Riemannian manifolds, where $\phi$ is a C^2 function, which generalize estimates of R. Hamilton's and Qi S. Zhang's on the heat equation.