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

作　　者：Wen WANG Da-peng XIE Hui ZHOU 

机构地区：[1]School of Mathematics and Statistics,Hefei Normal University,Hefei 230601,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第2期539-546,共8页应用数学学报（英文版）

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).

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 constants.As application,the Harnack inequalities are derived.

关 键 词：nonlinear parabolic equation gradient estimate Harnack inequality 

分 类 号：O186.12[理学—数学] O175.26[理学—基础数学]