English

Large-time asymptotic behavior of the infinite system of harmonic oscillators

Mathematical Physics 2017-10-03 v2 math.MP

Abstract

The mixed initial-boundary value problem for infinite one-dimensional chain of harmonic oscillators on the half-line is considered. We study the large time behavior of solutions and derive the dispersive bounds.

Keywords

Cite

@article{arxiv.1610.09217,
  title  = {Large-time asymptotic behavior of the infinite system of harmonic oscillators},
  author = {T. V. Dudnikova},
  journal= {arXiv preprint arXiv:1610.09217},
  year   = {2017}
}

Comments

17 pages, corrected the condition on the constants of the system; arXiv admin note: text overlap with arXiv:1504.05132