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Preprints of the Keldysh Institute of Applied Mathematics, 2017, 109, 35 pp.
DOI: https://doi.org/10.20948/prepr-2017-109-e (Mi ipmp2325) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions

T. V. Dudnikova
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DOI: https://doi.org/10.20948/prepr-2017-109-e
Abstract: We consider the Cauchy problem for infinite one-dimensional chain of harmonic oscillators with different masses. We study the large time behavior of solutions and derive the dispersive bounds for them.
Keywords: infinite one-dimensional non homogeneous chain of harmonic oscillators, Cauchy problem, Fourier–Laplace transform, Puiseux expansion, dispersive estimates.
Funding agency Grant number
Russian Science Foundation 14-21-00025
This work was done with the financial support from the Russian Science Foundation (grant N. 14-21-00025).
Document Type: Preprint
Language: English
Citation: T. V. Dudnikova, “Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions”, Keldysh Institute preprints, 2017, 109, 35 pp.
Citation in format AMSBIB
\Bibitem{Dud17}
\by T.~V.~Dudnikova
\paper Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions
\jour Keldysh Institute preprints
\yr 2017
\papernumber 109
\totalpages 35
\mathnet{http://mi.mathnet.ru/ipmp2325}
\crossref{https://doi.org/10.20948/prepr-2017-109-e}
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  • https://www.mathnet.ru/eng/ipmp/y2017/p109
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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