Spectral approach to homogenization of an elliptic operator periodic in some directions

R. Bunoiu, G. Cardone, T. Suslina

The operator \[ A_{\varepsilon}= D_{1} g_{1}(x_{1}/\varepsilon, x_{2}) D_{1} + D_{2} g_{2}(x_{1}/\varepsilon, x_{2}) D_{2} \] is considered in $L_2({\mathbb{R}}^2)$, where $g_{…