Dispersive Properties for Discrete Schrodinger Equations

2010/07/25 by Ignat, L. I., Stan, D.
#35C #35J10 #42B20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1007.4316

Abstract

In this paper we prove dispersive estimates for the system formed by two coupled discrete Schrödinger equations. We obtain estimates for the resolvent of the discrete operator and prove that it satisfies the limiting absorption principle. The decay of the solutions is proved by using classical and some new results on oscillatory integrals.

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