GLOBAL EXISTENCE AND SCATTERING FOR QUADRATIC NLS WITH POTENTIAL IN THREE DIMENSIONS

被引：3
作者：
Leger, Tristan [1 ]
机构：
[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA
来源：
ANALYSIS & PDE | 2021年 / 14卷 / 07期
关键词：
space-time resonances; Schrodinger equation; WAVE-OPERATORS; DIFFERENTIAL-OPERATORS; STRUCTURE FORMULAS; EQUATION; SYSTEM;
D O I：
10.2140/apde.2021.14.1977
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the asymptotic behavior of a quadratic NLS equation with small, time-dependent potential and small spatially localized initial data. We prove global existence and scattering of solutions. The two main ingredients of the proof are the space-time resonance method and the boundedness of wave operators for the linear Schrodinger equation with potential.
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收藏
页码：1977 / 2046
页数：70
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