Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 82, pp. 1-23.

Title: Deterministic  homogenization of parabolic monotone operators 
       with time dependent coefficients
       
Authors: Gabriel Nguetseng  (Univ. of Yaounde I, Yaounde, Cameroon)
         Jean Louis Woukeng (Univ. of Yaounde I, Yaounde, Cameroon)

Abstract: 
 We study, beyond the classical periodic setting, the homogenization of
 linear and nonlinear parabolic differential equations associated with
 monotone operators. The usual periodicity hypothesis is here substituted by
 an abstract deterministic assumption characterized by a great relaxation of
 the time behaviour. Our main tool is the recent theory of homogenization
 structures by the first author, and our homogenization approach falls under
 the two-scale convergence method. Various concrete examples are worked out
 with a view to pointing out the wide scope of our approach and bringing the
 role of homogenization structures to light.
 
  
Submitted March 20, 2004. Published June 8, 2004.
Math Subject Classifications: 46J10, 35B40.
Key Words: Deterministic homogenization; homogenization structures; 
parabolic equations; monotone operators.