Spectral approach to homogenization of an elliptic operator periodic in some directions
Spectral approach to homogenization of an elliptic operator periodic in some directions
The operatorvbox is considered in L2(ℝ2), where gj(x1, x2), j = 1, 2, are periodic in x1 with period 1, bounded and positive definite. Let function Q(x1, x2) be bounded, positive definite and periodic in x1 with period 1. Let Qε(x1, x2) = Q(x1/ε, x2). The behavior of the operator …