4.5 Article

Dispersion estimates for one-dimensional discrete Dirac equations

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 434, Issue 1, Pages 191-208

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2015.08.075

Keywords

Discrete Dirac equation; Cauchy problem; Dispersive decay; Limiting absorption principle

Funding

  1. Austrian Science Fund (FWF) [P27492-N25]
  2. Austrian Science Fund (FWF) [P27492] Funding Source: Austrian Science Fund (FWF)

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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. (C) 2015 Elsevier Inc. All rights reserved.

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