Local Hamilton type Gradient Estimates and Harnack Inequalities for Nonlinear Parabolic Equations on Riemannian Manifolds

作     者：Wen WANG Da-peng XIE Hui ZHOU Wen WANG;Da-peng XIE;Hui ZHOU

作者机构：School of Mathematics and StatisticsHefei Normal UniversityHefei 230601China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2024年第40卷第2期

页      面：539-546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(No.12271039) the Natural Science Foundation of universities of Anhui Province of China(Grant Nos.KJ2021A0927,2023AH040161) 

主　　题：nonlinear parabolic equation gradient estimate Harnack inequality 

摘      要：In this paper,we prove a local Hamilton type gradient estimate for positive solution of the nonlinear parabolic equation ut(x,t)=Δu(x,t)+au(x,t) ln u(x,t)+bu^(α)(x,t),on M×(-∞,∞) with α∈R,where a and b are *** application,the Harnack inequalities are derived.