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

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.

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

References in corpus (2)

• On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
• Harmonic Crystals in the Half-Space, I. Convergence to Equilibrium