Dag Lukkassen, Gabriel Nguetseng, Hubert Nnang, Peter Wall, "Reiterated homogenization of nonlinear monotone operators in a general deterministic setting", Journal of Function Spaces, vol. 7, Article ID 102486, 32 pages, 2009. https://doi.org/10.1155/2009/102486
Reiterated homogenization of nonlinear monotone operators in a general deterministic setting
We study reiterated homogenization of a nonlinear non-periodic elliptic differential operator in a general deterministic setting as opposed to the usual stochastic setting. Our approach proceeds from an appropriate notion of convergence termed reiterated Σ-convergence. A general deterministic homogenization theorem is proved and several concrete examples are studied under various structure hypotheses ranging from the classical periodicity hypothesis to more complicated, but realistic, structure hypotheses.
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