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

Mathematical Physics 2020-05-05 v1 math.MP

Abstract

We consider infinite harmonic chain with l2l_{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 ll_{\infty}-norm.

Keywords

Cite

@article{arxiv.2005.00765,
  title  = {Long Time Behavior of Infinite Harmonic Chain with $l_{2}$ Initial Conditions},
  author = {A. Lykov and M. Melikian},
  journal= {arXiv preprint arXiv:2005.00765},
  year   = {2020}
}