T. V. Dudnikova, “Large-time behavior of an infinite system of harmonic oscillators on the half-line”, Trudy Mat. Inst. Steklova, 2018, Volume 301,Pages <nobr>91

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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

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.

UDC: 517.9

Received: October 20, 2017

DOI: 10.1134/S0371968518020073