J. Math. Anal. Appl. 434, 191-208 (2016) [DOI: 10.1016/j.jmaa.2015.08.075]

Dispersion Estimates for One-Dimensional Discrete Dirac Equations

Elena Kopylova and Gerald Teschl

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.

MSC2010: Primary 35Q41, 81Q15; Secondary 39A12, 39A70
Keywords: Discrete Dirac equation, Cauchy problem, dispersive decay, limiting absorption principle

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