Some gradient estimates for a diffusion equation on Riemannian manifolds

Details Some gradient estimates for a diffusion equation on Riemannian manifolds Some gradient estimates for a diffusion equation on Riemannian manifolds

2007-07-27

arxiv.org/abs/0707.4033v4

Mathematics

Differential Geometry

3 pages

Scientific paper

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.

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