Gradient Estimates for Nonlinear Reaction-Diffusion Equations on Riemannian Manifolds

被引：0
|
作者：
Wang, Yu-Zhao [1 ]
Wang, Xueming [1 ]
机构：
[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2022年 / 77卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Nonlinear reaction diffusion equation; Li-Yau type gradient estimate; Hamilton type estimate; Ricci curvature; Bochner formula; ENTROPY FORMULAS;
D O I：
10.1007/s00025-021-01518-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain the global Li-Yau type gradient estimate and Hamilton type estimate for positive solutions to the nonlinear reaction diffusion equation u(t) = Delta(p)u(gamma) + cu(q) on compact Riemannian manifolds with nonnegative Ricci curvature. As applications, the corresponding Harnack inequalities are derived.
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收藏
页数：13
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