Global solutions for 2D quadratic Schrodinger equations

被引：59
作者：
Germain, P. [1 ]
Masmoudi, N. [1 ]
Shatah, J. [1 ]
机构：
[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2012年 / 97卷 / 05期
关键词：
Schrodinger quadratic equations; Scattering; Space-time resonance; ASYMPTOTICALLY-FREE SOLUTIONS; LONG-RANGE SCATTERING; NONLINEAR SCHRODINGER; EXISTENCE; NONEXISTENCE; BEHAVIOR; TIME;
D O I：
10.1016/j.matpur.2011.09.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove global existence and scattering for a class of quadratic Schrodinger equations in dimension 2 with small and localized data. The proof relies on the idea of space-time resonance. (C) 2011 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：505 / 543
页数：39
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