Homogenization of a nonlinear degenerate parabolic differential equation

This paper is devoted to the homogenization of a nonlinear degenerate parabolic problem .tu..div(D(x.,u.,.u.)+K(x.,u.))=f(x) with Dirichlet boundary condition. Here the operator D(y, s,.s) is periodic in y and degenerated in . s. In the paper, under the two-scale convergence theory, we obtain the limit equation as . . 0 and also prove the corrector results of .u . to strong convergence.