论文标题
在一个空间维度中的立方非线性schrödinger系统的大时间渐近学,ii
Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension, II
论文作者
论文摘要
这是同一位作者的论文“在一个空间维度中,在一个空间维度中的立方非线性schrödinger系统的大渐近学”的续集。我们继续研究一个空间维度的Cubic非线性schrödinger方程的两组分系统的库奇问题。我们根据初始数据的傅立叶变换,为小幅度解决方案的$ l^2 $中的大时间衰减或非纪录提供标准。
This is a sequel to the paper "Large time asymptotics for a cubic nonlinear Schrödinger system in one space dimension" by the same authors. We continue to study the Cauchy problem for the two-component system of cubic nonlinear Schrödinger equations in one space dimension. We provide criteria for large time decay or non-decay in $L^2$ of the small amplitude solutions in terms of the Fourier transforms of the initial data.