Dapeng Xia — Neckpinchhttps://neckpinch.com/authors/dapeng-xia/New arXiv papers by Dapeng Xia, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Local Aronson-Benolan type gradient estimates for the porous medium type equation under Riccihttps://neckpinch.com/papers/1701.02203/arxiv:1701.02203Mon, 09 Jan 2017 00:00:00 GMTWen Wang, Hui Zhou, Dapeng Xia — In this paper, we investigate some new local Aronson-Bénilan type gradient estimates for positive solutions of the porous medium equation uₜ=Δu^(m), under Ricci flow. As application, the related Harnack inequalities are derived. Our results generalize known results. These results in the paper can be regard as generalizing the gradient estimates of Lu-Ni-Vázquez-Villani and Huang-Huang-Li to the Ricci flow.Ricci flowHarnack inequalities