Homogenization of forward-backward parabolic equations

摘要

We study the homogenization of the equation R(ε (-1)x) partial deriv u_ε/partial deriv t - Δu_ε = f, where R is a periodic function which may vanish or change sign, with appropriate initial/final conditions. The main tool is a compactness result for sequences of functions which have bounded norms in the spaces associated to the problems.