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arXiv · 1610.02622

Hamilton-Souplet-Zhang type gradient estimates for porous medium type equations on Riemannian manifolds

Wen Wang
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Abstract

In this paper, by employ the cutoff function and the maximum principle, some Hamilton-Souplet-Zhang type gradient estimates for porous medium type equation are deduced. As a special case, an Hamilton-Souplet-Zhang type gradient estimates of the heat equation is derived which is different from the result of Souplet-Zhang. Furthermore, our results generalize those of Zhu. As application, some Livillous theorems for ancient solution are derived.

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BibTeXRIS

Wen Wang. 2016-10-09. Hamilton-Souplet-Zhang type gradient estimates for porous medium type equations on Riemannian manifolds. https://arxiv.org/abs/1610.02622

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