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

2016/10/28 by T. V. Dudnikova, Dudnikova, T. V.
Computer Science · Engineering · Mathematics · #35L20 #37K60 #42A38 #47A40 #Advanced Mathematical Modeling in Engineering #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1610.09217

openalex publication_date 2016/10/28 · openalex created_date 2016/11/04 · openalex updated_date 2026/07/28

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.

Citations

• Spectral properties of Schrödinger operators and time-decay of the wave functions

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