Two-scale extensions for non-periodic coefficients

Details Two-scale extensions for non-periodic coefficients Two-scale extensions for non-periodic coefficients

2005-12-06

arxiv.org/abs/math/0512123v1

Mathematics

Analysis of PDEs

22 pages, 1 figure. Your comments are welcome

Scientific paper

We consider non-homogeneous media with properties which can be characterized
by rapidly oscillated coefficients. For such coefficients we define a notion of
two-scale extension, present several ways to construct two-scale extensions,
discuss their properties and relation to homogenization

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