Long Time Behavior of Infinite Harmonic Chain with $l_{2}$ Initial Conditions

preprint2020arXivOpen access

We consider infinite harmonic chain with $l_{2}$ -initial conditions and deterministic dynamics (no probability at all). Main results concern the question when the solution will be uniformly bounded in time and space in the $l_{\infty}$ -norm.

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Long Time Behavior of Infinite Harmonic Chain with $l_{2}$ Initial Conditions

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Long Time Behavior of Infinite Harmonic Chain with $l_{2}$ Initial Conditions