Two-Scale Regularity for Homogenization Problems with Nonsmooth Fine Scale Geometry
Metadata only
Date
2003-07Type
- Journal Article
Abstract
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. Show more
Publication status
publishedExternal links
Journal / series
Mathematical Models and Methods in Applied SciencesVolume
Pages / Article No.
Publisher
World ScientificSubject
Two-scale regularity; Analytic regulaxity; Countably normed spaces; Two-scale finite element methodMore
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