Homogenization with corrector term for periodic elliptic differential operators

M. Sh. Birman, Tatiana Aleksandrovna Suslina · St Petersburg Mathematical Journal · 2006

We continue to study the class of matrix periodic elliptic differential operators ${{\mathcal {A}}_\varepsilon }$ in ${\mathbb {R}^d}$ with coefficients oscillating rapidly (i.e., depending on ${{\mathbf {x}}/\varepsilon }$). This class was introduced in the authors’ earlier work of 2001 and 2003. The

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