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Algebra i Analiz, 2010, Volume 22, Issue 2, Pages 1–13 (Mi aa1176)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

To the theory of infinitely differentiable semigroups of operators

M. S. Bichegkuev

North-Ossetia State University, Vladikavkaz, Russia
Full-text PDF (611 kB) Citations (6)
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Abstract: Given a linear relation (multivalued linear operator) with certain growth restrictions on the resolvent, an infinitely differentiable semigroup of operators is constructed. It is shown that the initial linear relation is a generator of this semigroup. The results obtained are intimately related to certain results in the monograph “Functional analysis and semi-groups” by Hille and Phillips.
Keywords: linear relation, infinitely differentiable semigroup of operators, generator of a semigroup, resolvent set.
Received: 06.04.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 2, Pages 175–182
DOI: https://doi.org/10.1090/S1061-0022-2011-01137-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. S. Bichegkuev, “To the theory of infinitely differentiable semigroups of operators”, Algebra i Analiz, 22:2 (2010), 1–13; St. Petersburg Math. J., 22:2 (2011), 175–182
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:502
    Full-text PDF :117
    References:61
    First page:15
     
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