Multi-scale Young measures
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- by Pablo Pedregal PDF
- Trans. Amer. Math. Soc. 358 (2006), 591-602 Request permission
Abstract:
We introduce multi-scale Young measures to deal with problems where multi-scale phenomena are relevant. We prove some interesting representation results that allow the use of these families of measures in practice, and illustrate its applicability by treating, from this perspective, multi-scale convergence and homogenization of multiple integrals.References
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Additional Information
- Pablo Pedregal
- Affiliation: ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain
- Email: pablo.pedregal@uclm.es
- Received by editor(s): October 9, 2003
- Received by editor(s) in revised form: February 3, 2004
- Published electronically: February 4, 2005
- Additional Notes: The author would like to express his gratitude to an anonymous referee for comments that led to various improvements and for several important, additional references. This work is supported by BFM2001-0738 of MCyT (Spain) and by GC-02-001 of JCCM (Castilla-La Mancha).
- © Copyright 2005 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 591-602
- MSC (2000): Primary 49J45; Secondary 74Q05
- DOI: https://doi.org/10.1090/S0002-9947-05-03669-X
- MathSciNet review: 2177032