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VOL. 64 | 2015 Further decay results on the system of NLS equations in lower order Sobolev spaces
Chunhua Li

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

## Abstract

The initial value problem of a system of nonlinear Schrödinger equations with quadratic nonlinearities in two space dimensions is studied. We show there exists a unique global solution for this initial value problem which decays like $t^{-1}$ as $t\to +\infty$ in $\mathbf{L}^\infty (\mathbb{R}^2)$ for small initial data in lower order Sobolev spaces.

## Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35235
MathSciNet: MR3381310

Digital Object Identifier: 10.2969/aspm/06410437

Subjects:
Primary: 35B40, 35Q55