The present paper concerns a space-time homogenization problem for nonlinear
diffusion equations with periodically oscillating (in space and time) coefficients. The
main results consist of corrector results (i.e., strong convergence with corrector
terms) for gradients, diffusion fluxes and time-derivatives of solutions 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.
Keywords
space-time homogenization, corrector result, two-scale
convergence, unfolding method, fast diffusion equation,
porous medium equation, nonlinear diffusion equation
