%0 Journal Article %T Local estimates for positive solutions of porous medium equations %A Zhongmin Qian %A Zichen Zhang %J Mathematics %D 2014 %I arXiv %X We derive several new gradient estimates of Aronson-B{\'e}nilan type for positive solutions of porous medium equation and fast diffusion equation on a complete manifold that satisfies the curvature dimension condition %U http://arxiv.org/abs/1403.1821v1