The two-scale convergence method applied to generalized Besicovitch spaces
Juan Casado‐Díaz, Inmaculada Gayte · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2002
The two–scale convergence method has proved to be a very useful tool for dealing with periodic homogenization problems. In the present paper we develop this theory to generalized Besicovitch spaces, which include the almost–periodic functions. The main difficulty comes from the fact that these spaces are not separable. We also show how to apply these results to the homogenization of partial differential problems in this framework.