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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Volume 301, Pages 91–107
DOI: https://doi.org/10.1134/S0371968518020073 (Mi tm3907) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Large-time behavior of an infinite system of harmonic oscillators on the half-line

T. V. Dudnikova

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
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DOI: https://doi.org/10.1134/S0371968518020073
Abstract: An initial–boundary value problem for an infinite one-dimensional chain of harmonic oscillators on the half-line is considered. The large time behavior of solutions is studied and dispersive bounds are derived.
Keywords: one-dimensional system of harmonic oscillators on the half-line, initial–boundary value problem, Fourier–Laplace transform, Puiseux expansion, dispersive estimates.
Funding agency Grant number
Russian Science Foundation 14-21-00025
This work is supported by the Russian Science Foundation under grant 14-21-00025.
Received: October 20, 2017
English version:
Proceedings of the Steklov Institute of Mathematics, 2018, Volume 301, Pages 82–97
DOI: https://doi.org/10.1134/S0081543818040077
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. V. Dudnikova, “Large-time behavior of an infinite system of harmonic oscillators on the half-line”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 91–107; Proc. Steklov Inst. Math., 301 (2018), 82–97
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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