ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 499-511
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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.
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
@article{10_1017_S0017089509005138,
author = {MA, LI and SONG, XIANFA and ZHAO, LIN},
title = {ON {GLOBAL} {ROUGH} {SOLUTIONS} {TO} {A} {NON-LINEAR} {SCHR\"ODINGER} {SYSTEM}},
journal = {Glasgow mathematical journal},
pages = {499--511},
year = {2009},
volume = {51},
number = {3},
doi = {10.1017/S0017089509005138},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/}
}
TY - JOUR AU - MA, LI AU - SONG, XIANFA AU - ZHAO, LIN TI - ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM JO - Glasgow mathematical journal PY - 2009 SP - 499 EP - 511 VL - 51 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/ DO - 10.1017/S0017089509005138 ID - 10_1017_S0017089509005138 ER -
%0 Journal Article %A MA, LI %A SONG, XIANFA %A ZHAO, LIN %T ON GLOBAL ROUGH SOLUTIONS TO A NON-LINEAR SCHRÖDINGER SYSTEM %J Glasgow mathematical journal %D 2009 %P 499-511 %V 51 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005138/ %R 10.1017/S0017089509005138 %F 10_1017_S0017089509005138
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