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Some homogenization and corrector results for nonlinear monotone operators
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
1998 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 5, no 2, p. 331-348Article in journal (Refereed) Published
Abstract [en]

This paper deals with the limit behaviour of the solutions of quasi-linear equations of the form - div (a (x, x/h, Duh)) = fh on with Dirichlet boundary conditions. The sequence (h) tends to 0 and the map a(x, y, ) is periodic in y, monotone in and satisfies suitable continuity conditions. It is proved that uh u weakly in H1,2 0 (), where u is the solution of a homogenized problem - div(b(x, Du)) = f on . We also prove some corrector results, i.e. we find (Ph) such that Duh - Ph(Du) 0 in L2 (, Rn ).

Place, publisher, year, edition, pages
1998. Vol. 5, no 2, p. 331-348
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-10163DOI: 10.2991/jnmp.1998.5.3.7ISI: 000082330300007Scopus ID: 2-s2.0-0347879158Local ID: 8ebe36b0-b142-11db-bf9d-000ea68e967bOAI: oai:DiVA.org:ltu-10163DiVA, id: diva2:983103
Note
Godkänd; 1998; 20070131 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Wall, Peter

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