Periodic Homogenization of Parabolic Nonstandard Monotone Operators
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- Bogning, R.K. & Nnang, H. Acta Appl Math (2013) 125: 209. doi:10.1007/s10440-012-9788-x
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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.