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Homogenization of some partial differential operators and integral functionals
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
1998 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis is devoted to some problems connected to the theory of homogenization of partial differential operators and integral functionals. The thesis consists of an introduction and three different parts, A-C. In the introduction we give an elementary presentation of the basic ideas in the homogenization theory. Moreover, the introduction also serves as an overview of the field and points out where the results contained in this thesis fit in. The first part, Part A, consists of one paper and a complementary appendix and it deals with the limit behavior of the solutions of a sequence of quasi-linear equations. Part B consists of three papers in which bounds on the homogenized integrand for non-linear problems are developed. Moreover, examples where the bounds are optimal are given. The third part, Part C, consists of four papers which consider some further mathematical and engineering aspects on the homogenization method. Several numerical results are also presented and compared with theoretical results.

Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 1998. , 27 p.
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544 ; 1998:42
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-25981Local ID: c0406260-78aa-11db-962b-000ea68e967bOAI: oai:DiVA.org:ltu-25981DiVA: diva2:999139
Note

Godkänd; 1998; 20061120 (haneit)

Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2017-11-24Bibliographically approved

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