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The Besicovitch covering theorem and near-minimizers for the couple (L-2, BV)
Växjö University.
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2010 (English)In: Proceedings of the Estonian Academy of Sciences, ISSN 1736-6046, E-ISSN 1736-7530, Vol. 59, no 1, 29-33 p.Article in journal (Refereed) Published
Abstract [en]

Let Omega be a rectangle in R-2. A new algorithm for the construction of a near-minimizer for the couple (L-2 (Omega); BV(Omega)) is presented. The algorithm is based on the Besicovitch covering theorem and analysis of local approximations of the given function f is an element of L-2 (Omega).

Place, publisher, year, edition, pages
Estonian Academy Publishers , 2010. Vol. 59, no 1, 29-33 p.
Keyword [en]
covering theorems, near-minimizers
National Category
Medical and Health Sciences
Identifiers
URN: urn:nbn:se:liu:diva-56295DOI: 10.3176/proc.2010.1.05ISI: 000276989900005OAI: oai:DiVA.org:liu-56295DiVA: diva2:318314
Available from: 2010-05-07 Created: 2010-05-07 Last updated: 2017-12-12

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Asekritova, IrinaKruglyak, Natan

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