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- W1570693422 abstract "Let $(M, g)$ be an dimensional complete Riemannian manifold. In this paper we prove local Li-Yau type gradient estimates for all positive solutions to the following nonlinear parabolic equation begin{equation*} (partial_t - Delta_g + mathcal{R}) u(x, t) = - a u(x, t) log u(x, t) end{equation*} along the generalised geometric flow. Here $ mathcal{R} = mathcal{R} (x, t)$ is a smooth potential function and $a$ is a constant. As an application we derived a global estimate and a space-time Harnack inequality." @default.
- W1570693422 created "2016-06-24" @default.
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- W1570693422 date "2015-01-01" @default.
- W1570693422 modified "2023-09-25" @default.
- W1570693422 title "Gradient estimates for a nonlinear parabolic equation with potential under geometric flow" @default.
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