Homogenization and boundary layers (Q713364)

This paper considers a linear elliptic system with periodically oscillating coefficients in the PDE system as well as in the Dirichlet boundary data. The authors perform a fine boundary layer analysis and are able to identify as \(\epsilon\) (the periodicity parameter) goes to zero a set of ``homogenized'' equations as well as an \(L^2\)-corrector estimate for the oscillating (weak) solutions. This generalizes the authors previous results on the same mathematical question to the case of more general domains.