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Gradient estimates and Harnack inequalities for diffusion equation on Riemannian manifolds |
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| Authors: | Yue Wang |
| Affiliation: | Department of Mathematics, China Jiliang University, Hangzhou 310018, China |
| Abstract: | We derive the gradient estimates and Harnack inequalities for positive solutions of the diffusion equation u t = Δu m on Riemannian manifolds. Then, we prove a Liouville type theorem. |
| Keywords: | Gradient estimate Harnack inequality diffusion equation Riemannian manifold |
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