TY - JOUR
T1 - Local Aronson-Bénilan Estimates for Porous Medium Equations Under Ricci Flow
AU - Xiaobao Zhu 
JO - Journal of Partial Differential Equations
VL - 4
SP - 324
EP - 333
PY - 2011
DA - 2011/11
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n4.4
UR - https://global-sci.org/intro/article_detail/jpde/5214.html
KW - Aronson-Bénilan estimate
KW - Porous medium equation
KW - Ricci flow
KW - Harnack inequality
AB - <p>In this work we derive local gradient estimates of the Aronson-Bénilan type for positive solutions of porous medium equations under Ricci flow with bounded Ricci curvature. As an application, we derive a Harnack type inequality.</p>