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Reiterated Ergodic Algebras and Applications

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Abstract

We redefine the homogenization algebras without requiring the separability assumption. We show that this enables one to treat more complicated homogenization problems than those solved by the previous theory. In particular we exhibit an example of algebra which, contrary to the algebra of almost periodic functions, induces no homogenization algebra. We prove some general compactness results which are then applied to the resolution of some homogenization problems related to the generalized Reynolds type equations and to some nonlinear hyperbolic equations.

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Authors and Affiliations

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

    Gabriel Nguetseng

  2. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa

    Mamadou Sango & Jean Louis Woukeng

  3. Department of Mathematics and Computer Science, University of Dschang, P.O. Box 67, Dschang, Cameroon

    Jean Louis Woukeng

Authors
  1. Gabriel Nguetseng
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  2. Mamadou Sango
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  3. Jean Louis Woukeng
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Correspondence to Jean Louis Woukeng.

Additional information

Communicated by P. Constantin

Dedicated to the memory of I.M. Gelfand (1913–2009)

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Nguetseng, G., Sango, M. & Woukeng, J.L. Reiterated Ergodic Algebras and Applications. Commun. Math. Phys. 300, 835–876 (2010). https://doi.org/10.1007/s00220-010-1127-3

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  • DOI: https://doi.org/10.1007/s00220-010-1127-3

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