Article

Acta Applicandae Mathematicae

, Volume 125, Issue 1, pp 209-229

Periodic Homogenization of Parabolic Nonstandard Monotone Operators

  • Rodrigue Kenne BogningAffiliated withFaculty of Sciences, Department of Mathematics, University of Yaounde I
  • , Hubert NnangAffiliated withÉcole Normale Supérieure de Yaoundé, University of Yaounde I Email author 

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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.

Keywords

Global solution Periodic homogenization Two-scale convergence Nonstandard monotone operators Orlicz spaces

Mathematics Subject Classification (2010)

35B27 35B40 46E30 74G25