Global solutions for 2D quadratic Schr枚dinger equations

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• 作者：P. Germain ; ^{pgermain@cims.nyu.edu} ; N. Masmoudi ; J. Shatah
• 关键词：Schr&ouml ; dinger quadratic equations ; Scattering ; Space&ndash ; time resonance
• 刊名：Journal des Mathematiques Pures et Appliquees
• 出版年：2012
• 期刊代码：29_00217824
• 类别：mt
• 出版时间：May, 2012
• 卷：97
• 期：5
• 页码：505-543
• 文件大小：323 K

摘要

We prove global existence and scattering for a class of quadratic Schr枚dinger equations in dimension 2 with small and localized data. The proof relies on the idea of space-time resonance.