Gradient estimates of positive solutions for the weighted nonlinear parabolic equation

被引：0

作者：

Mi, Rong ^{[1
]}

机构：

[1] Northwest Normal Univ, Coll Math & Stat, Lanzhou 730070, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2023年 / 14卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Smooth metric measure space; Gradient estimate; Integral Bakry-emery Ricci curvature; COMPACT MANIFOLDS; RICCI; BOUNDS; INEQUALITIES; GEOMETRY; KERNEL;

D O I：

10.1007/s43034-023-00253-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a Li-Yau type gradient estimate for a positive solution to the weighted nonlinear parabolic type equation (Delta phi- partial derivative(t))u(x, t) + a(x, t)u(x, t) ln u(x, t) + b(x, t)u(x, t) = 0 on the complete smooth metric measure space under integral Bakry-Emery Ricci curvature bounds. This estimates optimize the obtained conclusions by Zhang and Zhu

引用

页数：16

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