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G-Convergence and Homogenization of some Sequences of Monotone Differential Operators
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.
2009 (English)Doctoral thesis, monograph (Other academic)
Abstract [en]

This thesis mainly deals with questions concerning the convergence of some sequences of elliptic and parabolic linear and non-linear operators by means of G-convergence and homogenization. In particular, we study operators with oscillations in several spatial and temporal scales. Our main tools are multiscale techniques, developed from the method of two-scale convergence and adapted to the problems studied. For certain classes of parabolic equations we distinguish different cases of homogenization for different relations between the frequencies of oscillations in space and time by means of different sets of local problems. The features and fundamental character of two-scale convergence are discussed and some of its key properties are investigated. Moreover, results are presented concerning cases when the G-limit can be identified for some linear elliptic and parabolic problems where no periodicity assumptions are made.

Place, publisher, year, edition, pages
Östersund: Mittuniversitetet , 2009. , 153 p.
Series
Mid Sweden University doctoral thesis, ISSN 1652-893X ; 70
Keyword [en]
G-convergence, Homogenization, Multiscale convergence, Two-scale convergence, Monotone opertors, Functional analysis, Partial differential equations
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:miun:diva-8935ISBN: 9789186073367 (print)OAI: oai:DiVA.org:miun-8935DiVA: diva2:217261
Public defence
2009-06-03, Q221, Akademigatan 1, Östersund, 10:00 (Swedish)
Opponent
Supervisors
Available from: 2009-05-14 Created: 2009-05-13 Last updated: 2016-12-12Bibliographically approved

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Flodén, Liselott
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf