Second-Order Gradient Estimates for the Porous Medium Equation on Riemannian Manifolds

被引：0

作者：

Yang, Jingjing ^{[1
]}

Zhao, Guangwen ^{[1
]}

机构：

[1] Wuhan Univ Technol, Sch Math & Stat, Wuhan 430070, Peoples R China

来源：

MATHEMATICS | 2025年 / 13卷 / 10期

关键词：

gradient estimate; porous medium equation; Riemannian manifold; NONLINEAR PARABOLIC EQUATION; POSITIVE SOLUTIONS; HEAT-EQUATION; KERNEL;

D O I：

10.3390/math13101683

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive second-order gradient estimates for positive solutions of the porous medium equation partial derivative partial derivative tu(x,t)=Delta u(x,t)p,p is an element of 1,1+1n-1 on an n-dimensional Riemannian manifold under certain curvature conditions.

引用

页数：14

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