Abstract
In this paper, we consider Hamilton type gradient estimates of porous medium and fast diffusion equations
For \(n\ge 7\), we derive a local gradient estimate for positive solutions of fast diffusion equation which generalizes a result of Zhu (Proc Am Math Soc 139:1637–1644, 2011).
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The authors would like to express their gratitude to the referee for valuable comments and suggestions which make this paper more readable.
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The research of the first author is supported by NSFC (Nos. 11371018, 11671121), Henan Provincial Key Teacher (No. 2013GGJS-057) and IRTSTHN (14IRTSTHN023). The research of the second author is supported by NSFC (No. 11401179).
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Huang, G., Ma, B. Hamilton’s gradient estimates of porous medium and fast diffusion equations. Geom Dedicata 188, 1–16 (2017). https://doi.org/10.1007/s10711-016-0201-1
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DOI: https://doi.org/10.1007/s10711-016-0201-1