The Cauchy Problem of the Nonlinear Schrödinger Equations in ℝ1+1

被引：0
|
作者：
Gui-xiang Xu
机构：
[1] Institute of Applied Physics and Computational Mathematics,
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2007年 / 23卷
关键词：
Schrödinger equation; cauchy problem; besov space; littlewood-paley decomposition; self-similar solution; O175.29;
D O I：
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学科分类号：
摘要：
In this paper, we consider the local and global solution for the nonlinear Schrödinger equation with data in the homogeneous and nonhomogeneous Besov space and the scattering result for small data. The techniques to be used are adapted from the Strichartz type estimate, Kato’s smoothing effect and the maximal function (in time) estimate for the free Schrödinger operator.
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页码：593 / 610
页数：17
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