Complement of gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds

被引：7

作者：

Wang, Wen ^{[1
,2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[2] Hefei Normal Univ, Sch Math Stat, Hefei 230601, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 06期

关键词：

nonlinear parabolic equation; gradient estimate; Liouville theorem; ELLIPTIC-EQUATIONS;

D O I：

10.1002/mma.4121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, along the idea of Souplet and Zhang, we deduce a local elliptic-type gradient estimates for positive solutions of the nonlinear parabolic equation: [GRAPHICS] on Mx(-,) for 1 and 0. As applications, related Liouville-type theorem is exported. Our results are complement of known results. Copyright (c) 2016 John Wiley & Sons, Ltd.

引用

页码：2078 / 2083

页数：6

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