Large-time behavior of an infinite system of harmonic oscillators on the half-line
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 91-107

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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, dispersive estimates.
Mots-clés : Fourier–Laplace transform, Puiseux expansion
@article{TM_2018_301_a6,
     author = {T. V. Dudnikova},
     title = {Large-time behavior of an infinite system of harmonic oscillators on the half-line},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {91--107},
     publisher = {mathdoc},
     volume = {301},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2018_301_a6/}
}
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T. V. Dudnikova. Large-time behavior of an infinite system of harmonic oscillators on the half-line. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Complex analysis, mathematical physics, and applications, Tome 301 (2018), pp. 91-107. http://geodesic.mathdoc.fr/item/TM_2018_301_a6/