THE PERIODIC UNFOLDING METHOD FOR A CLASS OF PARABOLIC PROBLEMS WITH IMPERFECT INTERFACES

In this paper, we use the adapted periodic unfolding method to study the homogenization and corrector problems for the parabolic problem in a two-component composite with epsilon-periodic connected inclusions. The condition imposed on the interface is that the jump of the solution is proportional to the conormal derivative via a function of order epsilon(gamma) with gamma <= -1. We give the homogenization results which include those obtained by Jose in [Rev. Roum. Math. Pures Appl. 54 (2009) 189-222]. We also get the corrector results.