Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds |
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| Authors: | Guangyue Huang Bingqing Ma |
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| Institution: | 1. Department of Mathematics, Henan Normal University, 453007, Xinxiang, Henan, People’s Republic of China
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| Abstract: | Let M be a complete noncompact Riemannian manifold. We consider gradient estimates for the positive solutions to the following nonlinear parabolic equation $ \frac{\partial u}{\partial t} = \Delta _{f}u +au\,{\rm log}\, u + bu$ on ${M \times 0, + \infty)}Let M be a complete noncompact Riemannian manifold. We consider gradient estimates for the positive solutions to the following
nonlinear parabolic equation
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\frac?u?t = Dfu +au log u + bu \frac{\partial u}{\partial t} = \Delta _{f}u +au\,{\rm log}\, u + bu |
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| Keywords: | |
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