Gradient Estimates for a Nonlinear Parabolic Equationwith Diffusion on Complete Noncompact Manifolds |
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| Authors: | Liang ZHAO and Zongwei MA |
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| Affiliation: | 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016,China
2. College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, Zhejiang, China |
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| Abstract: | The authors obtain some gradient estimates for positive solutionsto the following nonlinear parabolic equation: $$ frac{partial u}{partial t}=triangle u-b(x, t)u^{sigma} $$ on complete noncompact manifolds with Ricci curvature bounded from below, where $0
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| Keywords: | Gradient estimates Positive solutions Harnack inequality |
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