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On the relationship between some weak compactnesses with different numbers of scales
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2003 (English)Report (Other academic)
Abstract [en]

A general concept of two-scale convergence is introduced and two-scale compactness theorems are stated and proved for some classes of non-periodic bounded functions in L²(). Further the relation to the classical notion of compensated compactness and the recent concept of two-scale compensated compactness is discussed and a defect measure for two-scale convergence is introduced.

Place, publisher, year, edition, pages
2003.
Series
Preprint/ Chalmers Finite Element Center Chalmers University of Technology Gothenburg, ISSN 1404-4382 ; 25
Keyword [en]
Two-scale convergence, compensated compactness.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5604Local ID: 1255OAI: oai:DiVA.org:miun-5604DiVA: diva2:30637
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2016-12-12Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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