Convergence Rates for the Stratified Periodic Homogenization Problems

In this paper, we study the convergence rates of homogenization problems for composites with general stratified periodic structure. After introduced auxiliary function, we get the representation formula satisfied by oscillatory solution and homogenized solution. Then we utilize the formula in combination with the asymptotic estimates of Green functions to obtain convergence rates in Lp of solutions for any 1 〈 p ≤∞.