Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 17, pp. 1-19.

Title: Homogenization of a nonlinear degenerate parabolic differential equation 
        
Authors: A. K. Nandakumaran (Indian Inst. of Science, Bangalore, India)
 M. Rajesh (Indian Inst. of Science, Bangalore, India)
         
Abstract: 
 In this article, we study the homogenization of the nonlinear
 degenerate parabolic equation
 $$
 \partial_t b({x /\varepsilon},u_\varepsilon)
 - \mathop{\rm div} a({x /\varepsilon},{t /\varepsilon},
 u_\varepsilon,\nabla u_\varepsilon)=f(x,t),
 $$
 with mixed boundary conditions(Neumann and Dirichlet)
 and obtain the limit equation as $\varepsilon \to 0$. We
 also prove corrector results to improve the weak convergence of
 $\nabla u_\varepsilon$ to strong convergence.
 
Submitted September 11, 2000. Published March 15, 2001.
Math Subject Classifications: 35B27, 74Q10.
Key Words: degenerate parabolic equation; homogenization;
           two-scale convergence; correctors.