区域上的一个二阶布尔甘-布雷齐-米罗内斯库型公式

A second order Bourgain-Brézis-Mironescu type formula in Euclidean domains

摘要: 在任意欧氏区域上建立了一个二阶布尔甘-布雷齐-米罗内斯库型公式；证明了当 s\rightarrow 2^- 时，基于二阶差分定义的s-阶内蕴Triebel-Lizorkin 型半范数收敛到二阶Sobolev范数的一个等价形式．

Abstract: We build a second order Bourgain-Brézis-Mironescu(BBM) type formula in arbitrary Euclidean domains． As s \to 2^- , we obtained the convergence from s-order intrinisic Triebel-Lizorkin type semi-norm defined via second-order difference to an equivalence of second order Sobolev semi-norm．