Hamilton-Souplet-Zhang type gradient estimates for porous medium type equations on Riemannian manifolds
Differential Geometry
2017-05-26 v2
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.
Keywords
Cite
@article{arxiv.1610.02622,
title = {Hamilton-Souplet-Zhang type gradient estimates for porous medium type equations on Riemannian manifolds},
author = {Wen Wang},
journal= {arXiv preprint arXiv:1610.02622},
year = {2017}
}