Asymptotic behavior of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations

A. Stefanov, P. G. Kevrekidis

We show decay estimates for the propagator of the discrete Schrödinger and Klein-Gordon equations in the form $\norm{U(t)f}{l^\infty}\leq C (1+|t|)^{-d/3}\norm{f}{l^1}$. This impli…