miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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
Reiterated homogenization and G-convergence for some sequences of monotone operators
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.ORCID iD: 0000-0003-2942-6841
Responsible organisation
2005 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this thesis, the main focus is on G-convergence and homogenization of monotone parabolic equations with multiple scales. This kind of equation is examined with respect to existence and uniqueness of the solution, in view of the properties of some monotone operators. We discuss the notion of G-convergence for elliptic and parabolic equations and prove that there exists a G-limit for the monotone parabolic multiple scale case. We consider two-scale convergence and the homogenization method based on this notion, and also its generalization to multiple scales, so-called reiterated homogenization. Moreover, we extend this type of convergence and prove a compactness result for a case in which there may also be oscillations in time. Finally, we apply these results for the homogenization of monotone parabolic equations with multiple scales.

Place, publisher, year, edition, pages
Östersund: Mittuniversitetet , 2005. , 68 p.
Series
Mid Sweden University licentiate thesis, ISSN 1652-8948 ; 5
Keyword [en]
Homogenization, G-convergence, Multiple scales, Monotone operators
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-5788Local ID: 3147ISBN: 91-85317-05-5 (print)OAI: oai:DiVA.org:miun-5788DiVA: diva2:30821
Presentation
(English)
Supervisors
Available from: 2008-09-30 Created: 2009-05-11 Last updated: 2013-11-01Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Olsson, Marianne
By organisation
Department of Engineering, Physics and Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Total: 888 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • 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