Regularity of Homogenized Boundary Data in Periodic Homogenization of Elliptic Systems

2017/07/11 by Zhongwei Shen, Shen, Zhongwei, Jinping Zhuge +1
Computer Science · Engineering · Mathematics · #35B27 #74Q05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1707.03160

openalex publication_date 2017/07/11 · openalex created_date 2017/07/21 · openalex updated_date 2026/07/28

Abstract

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

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