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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.

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Acknowledgements

The authors would like to thank the anonymous referee for his/her pertinent remarks, comments and suggestions.

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Authors and Affiliations

  1. Faculty of Sciences, Department of Mathematics, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Rodrigue Kenne Bogning

  2. École Normale Supérieure de Yaoundé, University of Yaounde I, P.O. Box 47, Yaounde, Cameroon

    Hubert Nnang

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  1. Rodrigue Kenne Bogning
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  2. Hubert Nnang
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Correspondence to Hubert Nnang.

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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

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