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• W2988893397 abstract "In this paper, we consider a manifold evolving by a general geometric flow and study parabolic equation(Δ−q(x,t)−∂t)u(x,t)=A(u(x,t)),(x,t)∈M×[0,T]. We establish space-time gradient estimates for positive solutions and elliptic type gradient estimates for bounded positive solutions of this equation. By integrating the gradient estimates, we derive the corresponding Harnack inequalities. Finally, as applications, we give gradient estimates of some specific parabolic equations." @default.
• W2988893397 created "2019-11-22" @default.
• W2988893397 creator A5059130014 @default.
• W2988893397 date "2020-03-01" @default.
• W2988893397 modified "2023-09-24" @default.
• W2988893397 title "Gradient estimates and Harnack inequalities of a parabolic equation under geometric flow" @default.
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• W2988893397 doi "https://doi.org/10.1016/j.jmaa.2019.123631" @default.
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