Hamilton-Souplet-Zhang's gradient estimates and Liouville theorems for a nonlinear parabolic equation

被引：9
|
作者：
Ma, Bingqing [1 ,2 ]
Zeng, Fanqi [3 ]
机构：
[1] Henan Normal Univ, Coll Phys & Mat Sci, Xinxiang 453007, Peoples R China
[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China
[3] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
COMPTES RENDUS MATHEMATIQUE | 2018年 / 356卷 / 05期
关键词：
MANIFOLDS;
D O I：
10.1016/j.crma.2018.04.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study Hamilton-Souplet-Zhang's gradient estimates for positive solutions to the nonlinear parabolic equation u(t) = Delta u +lambda u(alpha) on noncompact Riemannian manifolds, where lambda, alpha are two real constants. As an application, we obtain a Liouville-type theorem. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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页码：550 / 557
页数：8
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