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• W2110689112 abstract "We define and characterize weak and strong two-scale convergence in Lp, C0 and other spaces via a transformation of variable, extending Nguetseng's definition. We derive several properties, including weak and strong two-scale compactness; in particular we prove two-scale versions of theorems of Ascoli-Arzelà, Chacon, Riesz, and Vitali. We then approximate two-scale derivatives, and define two-scale convergence in spaces of either weakly or strongly differentiable functions. We also derive two-scale versions of the classic theorems of Rellich, Sobolev, and Morrey." @default.
• W2110689112 created "2016-06-24" @default.
• W2110689112 creator A5017589467 @default.
• W2110689112 date "2006-06-20" @default.
• W2110689112 modified "2023-10-18" @default.
• W2110689112 title "Towards a two-scale calculus" @default.
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• W2110689112 doi "https://doi.org/10.1051/cocv:2006012" @default.
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