Regularity of homogenized boundary data in periodic homogenization of elliptic systems
Zhongwei ShenUniversity of Kentucky, Lexington, USA
Jinping ZhugeUniversity of Kentucky, Lexington, USA and University of Chicago, USA
This paper is concerned with the 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 belongs to for any . In particular, this implies that the boundary layer tails are Hölder continuous of order for any .
Cite this article
Zhongwei Shen, Jinping Zhuge, Regularity of homogenized boundary data in periodic homogenization of elliptic systems. J. Eur. Math. Soc. 22 (2020), no. 9, pp. 2751–2776DOI 10.4171/JEMS/976