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Dispersive Properties for Discrete Schr?dinger Equations |
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| Authors: | Liviu I Ignat Diana Stan |
| Affiliation: | 1. Institute of Mathematics ??Simion Stoilow?? of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania 2. BCAM??Basque Center for Applied Mathematics, Bizkaia Technology Park, Building 500 Derio, Bilbao, Basque Country, Spain 3. Consejo Superior de Investigaciones Cient??ficas (CSIC), Instituto de Ciencias Matematicas (CSIC-UAM-UC3M-UCM), C/Nicolas Cabrera, 13-15, Campus de Cantoblanco, 28049, Madrid, Spain |
| Abstract: | In this paper we prove dispersive estimates for the system formed by two coupled discrete Schr?dinger 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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