Corrector estimates for a class of imperfect transmission problems.

Based on previous homogenization results for imperfect transmission problems in two-component domains with periodic microstructure, we derive quantitative estimates for the difference between the microscopic and macroscopic solution. This difference is of order epsilon(rho).,where epsilon > 0 describes the periodicity of the microstructure and rho is an element of (0, 12] depends on the transmission condition at the interface between the two components. The corrector estimates are proved without assuming additional regularity for the local correctors using the periodic unfolding method.