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Sbornik: Mathematics, 2015, Volume 206, Issue 8, Pages 1049–1086
DOI: https://doi.org/10.1070/SM2015v206n08ABEH004489 (Mi sm8193) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations

A. G. Baskakov

Voronezh State University
English version PDF (722 kB) Citations (22)
References:
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DOI: https://doi.org/10.1070/SM2015v206n08ABEH004489
Abstract: By applying Lyapunov's equation, the method of similar operators, and the methods of harmonic analysis, we obtain estimates for the parameters of exponential dichotomy and for the Green's function constructed for a hyperbolic operator semigroup and a hyperbolic linear relation. Estimates are obtained using quantities which are determined by the resolvent of the infinitesimal operator of the operator semigroup and of the linear relation.
Bibliography: 51 titles.
Keywords: hyperbolic operator semigroup, linear relations, method of similar operators, Lyapunov's equation, spectrum of an operator.
Funding agency Grant number
Russian Science Foundation 14-21-00066
This research was supported by the Russian Science Foundation (grant no. 14-21-00066).
Received: 20.11.2012 and 24.04.2015
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 8, Pages 23–62
DOI: https://doi.org/10.4213/sm8193
Bibliographic databases:
Document Type: Article
UDC: 517.984+517.986
MSC: Primary 47D06; Secondary 34G10, 47B39
Language: English
Original paper language: Russian
Citation: A. G. Baskakov, “Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations”, Mat. Sb., 206:8 (2015), 23–62; Sb. Math., 206:8 (2015), 1049–1086
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v206/i8/p23
    • This publication is cited in the following 22 articles:
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    References:95
    First page:215
     
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