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

作　　者：Lu Xu Bianlian Yan 

机构地区：[1]School of Mathematics,Hunan University,Changsha,Hunan 410082,China

出　　处：《Analysis in Theory and Applications》2023年第2期147-162,共16页分析理论与应用（英文刊）

基　　金：Both authors are supported by NSFC No.12171143.

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.

关 键 词：Harnack inequalities parabolic equations microscopic convexity 

分 类 号：O175[理学—数学]