Local Aronson-Bénilan gradient estimates and Harnack inequality for the porous medium equation along Ricci flow
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DOI: 10.3934/cpaa.2018093
Abstract: In this paper, we prove some new local Aronson-Benilan type gradient estimates for positive solutions of the porous medium equation \begin{document}$u_{t}=Δ u^{m}, m>1$ \end{document} coupled with Ricci flow, assuming that the Ricci curvature is bounded.… read more here.
Keywords: gradient estimates; harnack inequality; local aronson; ricci flow ... See more keywords