Dispersion Estimates for One-Dimensional Discrete Dirac Equations

Abstract

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.

16 pages

References in corpus (3)

• Dispersive estimates for Schrodinger operators in dimensions one and three
• On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
• Dispersion Estimates for One-dimensional Discrete Schrödinger and Wave Equations

Cited by in corpus (6)

• Attractors of Hamilton nonlinear partial differential equations
• Location of eigenvalues of non-self-adjoint discrete Dirac operators
• Dispersion Estimates for the Discrete Laguerre Operator
• $L^p-L^{p^{\prime }}$ estimates for matrix Schrödinger equations
• Continuous and discrete dynamical Schrödinger systems: explicit solutions
• Scattering Properties and Dispersion Estimates for a One-Dimensional Discrete Dirac Equation