Homogenization of a nonlinear degenerate parabolic dierential equation

Abstract

In this article, we study the homogenization of the nonlinear degenerate parabolic equation @tb( x ;u) diva( x ; t ;u ;ru) = f(x;t); with mixed boundary conditions(Neumann and Dirichlet) and obtain the limit equation as ! 0. We also prove corrector results to improve the weak convergence ofru to strong convergence.