Gradient estimates for porous medium equations under the Ricci flow

作     者：SHEN Li-ju YAO Sha ZHANG Guang-ying REN Xin-an 

作者机构：Department of Mathematics China University of Mining and Technology 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2016年第31卷第4期

页      面：481-490页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(11571361) China Scholarship Council 

主　　题：Gradient estimate porous medium equations Ricci flow. 

摘      要：A local gradient estimate for positive solutions of porous medium equations on complete noncompact Riemannian manifolds under the Ricci flow is derived. Moreover, a global gradient estimate for such equations on compact Riemannian manifolds is also obtained.