Dispersion estimates for 1D discrete equations

Abstract

We derive the dispersion decay for solutions of the 1D discrete Schroedinger and wave equations. Based on previous works, we weaken the conditions on potentials.

This paper has been withdrawn by the author since it's result was strengthened in the new paper arXiv:1403.7803 by the author together with I. Egorova and G. Teschl

References in corpus (2)

• On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
• Internal modes of discrete solitons near the anti-continuum limit of the dNLS equation