English

Two-scale extensions for non-periodic coefficients

Analysis of PDEs 2007-05-23 v1 Classical Analysis and ODEs

Abstract

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

Keywords

Cite

@article{arxiv.math/0512123,
  title  = {Two-scale extensions for non-periodic coefficients},
  author = {V. Laptev},
  journal= {arXiv preprint arXiv:math/0512123},
  year   = {2007}
}

Comments

22 pages, 1 figure. Your comments are welcome