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Sbornik: Mathematics, 2015, Volume 206, Issue 10, Pages 1375–1409
DOI: https://doi.org/10.1070/SM2015v206n10ABEH004499 (Mi sm8461) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Widths of Sobolev weight classes on a domain with cusp

A. A. Vasil'eva

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (748 kB) Citations (9) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2015v206n10ABEH004499
Abstract: Order estimates for the Kolmogorov, Gelfand and linear widths of the unit ball in weighted Sobolev space on a domain with cusp in a weighted Lebesgue space are obtained. Certain limit conditions on the parameters are considered for which the estimates for widths may differ from those in the case of weight one and a domain with Lipschitz boundary.
Bibliography: 52 titles.
Keywords: width, domain with cusp, weighted Sobolev space.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work is supported by the Russian Science Foundation under grant 14-50-00005.
Received: 29.12.2014 and 26.06.2015
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
MSC: 41A35, 41A46
Language: English
Original paper language: Russian
Citation: A. A. Vasil'eva, “Widths of Sobolev weight classes on a domain with cusp”, Sb. Math., 206:10 (2015), 1375–1409
Citation in format AMSBIB
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\paper Widths of Sobolev weight classes on a~domain with cusp
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\yr 2015
\vol 206
\issue 10
\pages 1375--1409
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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