, Volume 46, Issue 1, pp 29-51

Homogenization of the Maxwell Equations: Case I. Linear Theory

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Abstract

The Maxwell equations in a heterogeneous medium are studied. Nguetseng's method of two-scale convergence is applied to homogenize and prove corrector results for the Maxwell equations with inhomogeneous initial conditions. Compactness results, of two-scale type, needed for the homogenization of the Maxwell equations are proved.