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

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.

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Bibliographic Details
Published inRussian journal of mathematical physics Vol. 25; no. 4; pp. 470 - 491
Main Author Dudnikova, T.V.
Format Journal Article
LanguageEnglish
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
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Summary: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.
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ISSN:1061-9208
1555-6638
DOI:10.1134/S1061920818040052