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In this paper we prove a general homogenization result for monotone parabolicproblems with an arbitrary number of microscopic scales in space as well as intime, where the scale functions are not necessarily powers of epsilon. The maintools for the homogenization procedure are multiscale convergence and very weakmultiscale convergence, both adapted to evo lution problems. At the end of thepaper an example is given to concretize the use of the main result.

Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales