@Article{JPDE-24-324, author = {Xiaobao Zhu }, title = {Local Aronson-Bénilan Estimates for Porous Medium Equations Under Ricci Flow}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {4}, pages = {324--333}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n4.4}, url = {http://global-sci.org/intro/article_detail/jpde/5214.html} }