Infinite time gradient blow-up for parabolic prescribed mean curvature equations

被引：1

作者：

Pan, Hongjing ^{[1
]}

Xing, Ruixiang ^{[2
]}

Zeng, Pingan ^{[2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Gradient blow-up; Prescribed mean curvature equation; Quasilinear parabolic problem; Capillary surface; Logistic nonlinearity;

D O I：

10.1016/j.jmaa.2014.08.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some results on the existence of infinite time gradient blow-up phenomena for parabolic prescribed mean curvature equations over bounded, mean-convex domains in R-n. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：446 / 455

页数：10

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