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Regularity of homogenized boundary data in periodic homogenization of elliptic systems
Journal of the European Mathematical Society ( IF 2.6 ) Pub Date : 2020-06-04 , DOI: 10.4171/jems/976 Zhongwei Shen 1 , Jinping Zhuge 2
Journal of the European Mathematical Society ( IF 2.6 ) Pub Date : 2020-06-04 , DOI: 10.4171/jems/976 Zhongwei Shen 1 , Jinping Zhuge 2
Affiliation
This paper is concerned with periodic homogenization of second-order elliptic systems in divergence form with oscillating Dirichlet data or Neumann data of first order. We prove that the homogenized boundary data belong to $W^{1, p}$ for any $1
中文翻译：
椭圆系统周期性均质化中均质化边界数据的规律性
本文涉及具有振荡狄利克雷数据或一阶诺依曼数据的发散形式的二阶椭圆系统的周期性均匀化。我们证明对于任意$1，均质化边界数据属于$W^{1,p}$
更新日期：2020-06-04
中文翻译：
椭圆系统周期性均质化中均质化边界数据的规律性
本文涉及具有振荡狄利克雷数据或一阶诺依曼数据的发散形式的二阶椭圆系统的周期性均匀化。我们证明对于任意$1，均质化边界数据属于$W^{1,p}$
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