ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 499-511

Voir la notice de l'article provenant de la source Cambridge University Press

The non-linear Schrödinger systems arise from many important physical branches. In this paper, employing the ‘I-method’, we prove the global-in-time well-posedness for a coupled non-linear Schrödinger system in Hs(n) when n = 2, s > 4/7 and n = 3, s > 5/6, respectively, which extends the results of J. Colliander, M. Keel, G. Staffilani, H. Takaoka and T. Tao (Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation, Math Res. Lett. 9, 2002, 659–682) to the system.
DOI : 10.1017/S0017089509005138
Mots-clés : Primary 35Q55
MA, LI; SONG, XIANFA; ZHAO, LIN. ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 499-511. doi: 10.1017/S0017089509005138
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