Corrector results for space-time homogenization of nonlinear diffusionThe present paper concerns a space-time homogenization problem for nonlinear
diffusion equations with periodically oscillating (in space and time)
coefficients. Main results consist of corrector results (i.e., strong
convergences of solutions with corrector terms) for gradients, diffusion fluxes
and time-derivatives without assumptions for smoothness of coefficients. Proofs
of the main results are based on the space-time version of the unfolding
method, which is deeply concerned with the strong two-scale convergence theory.
arxiv.org