Homogenization with corrector for periodic differential operators. Approximation of solutions in the Sobolev class $H^1({\mathbb{R}}^d)$
M. Sh. Birman, Tatiana Aleksandrovna Suslina · St Petersburg Mathematical Journal · 2007
Investigation of a class of matrix periodic elliptic second-order differential operators ${{\mathcal {A}}_\varepsilon }$ in ${\mathbb {R}}{^d}$ with rapidly oscillating coefficients (depending on ${{\mathbf {x}}/\varepsilon }$) is continued. The