Gradient Estimates for Nonlinear Reaction-Diffusion Equations on Riemannian Manifolds

被引：1

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.

引用

页数：13

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