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.
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The authors would like to thank the anonymous referee for his/her pertinent remarks, comments and suggestions.
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Bogning, R.K., Nnang, H. Periodic Homogenization of Parabolic Nonstandard Monotone Operators. Acta Appl Math 125, 209–229 (2013). https://doi.org/10.1007/s10440-012-9788-x
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DOI: https://doi.org/10.1007/s10440-012-9788-x
Keywords
- Global solution
- Periodic homogenization
- Two-scale convergence
- Nonstandard monotone operators
- Orlicz spaces