Two-Scale Regularity for Homogenization Problems with Nonsmooth Fine Scale Geometry
Ana-Maria Matache, Jens Markus Melenk · Mathematical Models and Methods in Applied Sciences · 2003
Elliptic problems on unbounded domains with periodic coefficients and geometries are analyzed and two-scale regularity results for the solution are given. These are based on a detailed analysis in weighted Sobolev spaces of the so-called unit-cell problem in which the critical parameters (the period ε, the wave number t, and the differentiation order) enter explicitly.