Dispersive Properties for Discrete Schrodinger Equations

Published 25 Jul 2010 in math.AP | (1007.4316v1)

Abstract: In this paper we prove dispersive estimates for the system formed by two coupled discrete Schr\"odinger 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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