Homogenization in fractional elasticity
arXiv:1302.1731
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).
35 pages; thoroughly revised version with more detailed proofs