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Publication

KIAM Preprint № 109, Moscow, 2017
Authors: Dudnikova T.V.
Infinite non homogeneous chain of harmonic oscillators: Large-time behavior of solutions
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
Publication language: english, pages: 35
Research direction:
Mathematical problems and theory of numerical methods
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