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Some Results for Periodic and Non-Periodic Two-Scale Convergence
1996 (English)Report (Other academic)
Abstract [en]

We generalize the two-scale convergence concept which was introduced by Nguet-seng [29]. In this generalized method we use test functions which does not have to be periodic. We also prove some compactness results which we use in a homogeniza-tion procedure for linear and non-linear parabolic equations, in perforated domains, with coefficients oscillating in both their space and time variables. Further, we prove some corrector-type results for the linear case.

Place, publisher, year, edition, pages
Gävle: Högskolan i Gävle/Sandviken , 1996. , p. 38
Series
Working Paper / Högskolan Gävle-Sandviken, ISSN 1102-5476 ; 33
Keywords [en]
Partial differential equations, homogenization, two-scale convergence, multivalued, singelvalued, periodic, nonperiodic, linear parabolic equations, non-linear parabolic equations, monotone operators, perforated domains, oscillating co-efficients in space and time variable, admissible test functions, corrector results, compactness result
National Category
Mathematics
Identifiers
URN: urn:nbn:se:hig:diva-28535OAI: oai:DiVA.org:hig-28535DiVA, id: diva2:1264079
Available from: 2018-11-19 Created: 2018-11-19 Last updated: 2018-11-19Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • sv-SE
  • en-GB
  • en-US
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  • nn-NB
  • de-DE
  • Other locale
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Output format
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