UNIFORM GRADIENT ESTIMATES OF GENERALIZED PARABOLIC MEAN CURVATURE TYPE EQUATIONS WITH OBLIQUE BOUNDARY VALUE PROBLEMS

被引：0

作者：

Zhang, Xueyi ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2024年 / 23卷 / 01期

关键词：

generalized parabolic equation of mean curvature type; maximum principle; uniform gradient estimates; additive eigenvalue; additive eigenfunction; asymptotic behavior; TRANSLATING SOLUTIONS; FLOW; SURFACES;

D O I：

10.3934/cpaa.2023128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we mainly study the oblique value problem for the generalized parabolic mean curvature type equations. Using the maximum principle, we prove the uniform gradient estimate of the solution. As applications, the long time existence and asymptic behavior are both obtained.

引用

页码：65 / 79

页数：15

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