, Volume 125, Issue 1, pp 209-229
Date: 16 Nov 2012

Periodic Homogenization of Parabolic Nonstandard Monotone Operators

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Abstract

We study the periodic homogenization for a family of parabolic problems with nonstandard monotone operators leading to Orlicz spaces. After proving the existence theorem based on the classical Galerkin procedure combined with the Stone-Weierstrass theorem, the fundamental in this topic is the determination of the global homogenized problem via the two-scale convergence method adapted to this type of spaces.