INDIVIDUAL HOMOGENIZATION OF NONLINEAR PARABOLIC OPERATORS

In this paper, we prove an individual homogenization result for a class of almost periodic nonlin-ear parabolic operators. The spatial and temporal heterogeneities are almost periodic functions in the sense of Besicovitch. The latter allows discontinuities and suitable for many applications. First, we derive stability and comparison estimates for sequences of G-convergent nonlinear parabolic op-erators. Further, using these estimates, the individual homogenization result is shown. AMS Subject Classication (2000): 35B27, 35K55 1. Introduction. In the present pape