Behavior for Large Time of a Two-Component Chain of Harmonic Oscillators

• Published in: Russian journal of mathematical physics Vol. 25; no. 4; pp. 470 - 491
• Main Author: Dudnikova, T.V.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.10.2018; Springer Nature B.V
• Subjects: Cauchy problems; Chains; Harmonic oscillators; Mathematical and Computational Physics; Norms; Physics; Physics and Astronomy; Theoretical

We consider a model consisting of two semi-infinite chains of harmonic oscillators with a special particle subject to a harmonic external potential.We study the Cauchy problem for this model. The main goal is to derive the dispersive bounds for the solutions in the energy weighted norms.