Two-Scale Regularity for Homogenization Problems with Nonsmooth Fine Scale Geometry
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2003-07
Publication Type
Journal Article
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yes
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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.
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published
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13 (7)
Pages / Article No.
1053 - 1080
Publisher
World Scientific
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Subject
Two-scale regularity; Analytic regulaxity; Countably normed spaces; Two-scale finite element method