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

T. V. Dudnikova


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.

Language: English

DOI: 10.20948/prepr-2017-109-e