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Sbornik: Mathematics, 2009, Volume 200, Issue 3, Pages 429–454
DOI: https://doi.org/10.1070/SM2009v200n03ABEH004003
(Mi sm5007)
 

This article is cited in 16 scientific papers (total in 16 papers)

Mosco convergence of integral functionals and its applications

A. A. Tolstonogov

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: Questions relating to the Mosco convergence of integral functionals defined on the space of square integrable functions taking values in a Hilbert space are investigated. The integrands of these functionals are time-dependent proper, convex, lower semicontinuous functions on the Hilbert space. The results obtained are applied to the analysis of the dependence on the parameter of solutions of evolution equations involving time-dependent subdifferential operators. For example a parabolic inclusion is considered, where the right-hand side contains a sum of the $p$-Laplacian and the subdifferential of the indicator function of a time-dependent closed convex set. The convergence as $p\to+\infty$ of solutions of this inclusion is investigated.
Bibliography: 20 titles.
Keywords: Mosco convergence, integral functionals, $p$-Laplacian.
Received: 26.03.2008 and 03.12.2008
Bibliographic databases:
UDC: 517.987.4
MSC: 34G25, 45P05
Language: English
Original paper language: Russian
Citation: A. A. Tolstonogov, “Mosco convergence of integral functionals and its applications”, Sb. Math., 200:3 (2009), 429–454
Citation in format AMSBIB
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\by A.~A.~Tolstonogov
\paper Mosco convergence of integral functionals and its applications
\jour Sb. Math.
\yr 2009
\vol 200
\issue 3
\pages 429--454
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Linking options:
  • https://www.mathnet.ru/eng/sm5007
  • https://doi.org/10.1070/SM2009v200n03ABEH004003
  • https://www.mathnet.ru/eng/sm/v200/i3/p119
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:690
    Russian version PDF:239
    English version PDF:24
    References:73
    First page:5
     
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