Li-Yau type estimates for a nonlinear parabolic equation on complete manifolds |
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| Authors: | Jia-Yong Wu |
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| Affiliation: | Department of Mathematics, East China Normal University, Dong Chuan Road 500, Shanghai 200241, China |
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| Abstract: | Let (M,g) be a complete noncompact Riemannian manifold with the m-dimensional Bakry-Émery Ricci curvature bounded below. In this paper, we give a local Li-Yau type gradient estimate for the positive solutions to a general nonlinear parabolic equation ut=Δu−∇?⋅∇u−aulogu−qu |
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| Keywords: | Gradient estimate Nonlinear parabolic equation Bakry-É mery Ricci curvature |
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