Homogenization in fractional elasticity
Analysis of PDEs
2013-09-19 v3 Functional Analysis
Abstract
In this note we treat the equations of fractional elasticity. After establishing well-posedness, we show a compactness result related to the theory of homogenization. For this, a previous result in (abstract) homogenization theory of evolutionary equations has to be improved. The approach also permits the consideration of non-local operators (in time and space).
Cite
@article{arxiv.1302.1731,
title = {Homogenization in fractional elasticity},
author = {Marcus Waurick},
journal= {arXiv preprint arXiv:1302.1731},
year = {2013}
}
Comments
35 pages; thoroughly revised version with more detailed proofs