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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
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
Citation:
A. A. Tolstonogov, “Mosco convergence of integral functionals and its applications”, Sb. Math., 200:3 (2009), 429–454
Linking options:
https://www.mathnet.ru/eng/sm5007https://doi.org/10.1070/SM2009v200n03ABEH004003 https://www.mathnet.ru/eng/sm/v200/i3/p119
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Abstract page: | 690 | Russian version PDF: | 239 | English version PDF: | 24 | References: | 73 | First page: | 5 |
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