Dispersion estimates for one-dimensional discrete Dirac equations

We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators.

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 434; no. 1; pp. 191 - 208
Main Authors:	Kopylova, Elena, Teschl, Gerald
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-02-2016
Subjects:	Cauchy problem Discrete Dirac equation Dispersive decay Limiting absorption principle Discrete Dirac equation Dispersive decay Limiting absorption principle Cauchy problem
Online Access:	Get full text
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Description
Summary:	We derive dispersion estimates for solutions of the one-dimensional discrete perturbed Dirac equation. To this end, we develop basic scattering theory and establish a limiting absorption principle for discrete perturbed Dirac operators.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2015.08.075