Gradient estimates for a weighted nonlinear parabolic equation and applications

被引：1

作者：

Abolarinwa, Abimbola ^{[1
]}

Oladejo, Nathaniel K. ^{[2
]}

Salawu, Sulyman O. ^{[2
]}

机构：

[1] Univ Lagos, Dept Math, Akoka, Lagos State, Nigeria

[2] Landmark Univ, Dept Phys Sci, PMB 1001, Omu Aran, Kwara State, Nigeria

来源：

OPEN MATHEMATICS | 2020年 / 18卷

关键词：

gradient estimates; Bakry-Emery tensor; parabolic equation; Liouville theorem; heat kernel; Harnack inequality; LIOUVILLE THEOREMS; HEAT-EQUATION; INEQUALITIES; LAPLACIAN; HARNACK;

D O I：

10.1515/math-2020-0077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold. Applications of these estimates yield Liouville-type theorem, parabolic Harnack inequalities and bounds on weighted heat kernel on the lower boundedness assumption for Bakry-Emery curvature tensor.

引用

页码：1150 / 1163

页数：14

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