Two scale defect measure and linear equations with oscillating coefficients


Jelena Aleksić, Stevan Pilipović




Microlocal measure µ is associated to a two-scale convergent sequence un over Rd with the limit u ∈ L2(Rd × Td), Td is a torus, to analyze possible strong limit. µ is an operator valued measure absolutely continuous with respect to the product of scalar microlocal defect measure and a measure on the d-dimensional torus. The result is applied to the first order linear PDE with the oscillating coefficients,