Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian's Rank

被引：0

作者：

Xu, Lu ^{[1
]}

Yan, Bianlian ^{[1
]}

机构：

[1] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China

来源：

ANALYSIS IN THEORY AND APPLICATIONS | 2023年 / 39卷 / 02期

关键词：

Harnack inequalities; parabolic equations; microscopic convexity; MICROSCOPIC CONVEXITY PRINCIPLE; EQUATIONS; THEOREM;

D O I：

10.4208/ata.OA-2021-0048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study microscopic convexity properties of convex solutions of fully nonlinear parabolic equations under a structural condition introduced by Bian-Guan. We prove weak Harnack inequalities for the eigenvalues of the spatial Hessian of solutions and obtain the monotonicity of Hessian's rank with respect to time.

引用

页码：147 / 162

页数：16

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