Weak convergence for a class of rapidly oscillating functions

DOI10.1007/BF02356074zbMath0926.46026OpenAlexW2081558719MaRDI QIDQ1277431

Andrey A. Amosov

Publication date: 29 November 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02356074

zbMATH Keywords

mean valueapproximate continuityrapidly oscillating functionsapproximative limits

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30)

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Cites Work

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• \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
• Non-homogeneous media and vibration theory
• Weak continuity and weak lower semi-continuity of non-linear functionals
• Homogenization and Two-Scale Convergence
• Homogenization of linear and nonlinear transport equations
• A General Convergence Result for a Functional Related to the Theory of Homogenization

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