Global Well-posedness of Nls-kdv Systems for Periodic Functions
نویسنده
چکیده
We prove that the Cauchy problem of the Schrödinger-KortewegdeVries (NLS-KdV) system for periodic functions is globally well-posed for initial data in the energy space H1×H1. More precisely, we show that the nonresonant NLS-KdV system is globally well-posed for initial data in Hs(T) × Hs(T) with s > 11/13 and the resonant NLS-KdV system is globally wellposed with s > 8/9. The strategy is to apply the I-method used by Colliander, Keel, Staffilani, Takaoka and Tao. By doing this, we improve the results by Arbieto, Corcho and Matheus concerning the global well-posedness of NLSKdV systems.
منابع مشابه
1 9 N ov 2 00 5 GLOBAL WELL - POSEDNESS FOR A NLS - KDV SYSTEM ON T
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