Scattering for the Defocusing, Nonlinear Schrodinger Equation With Initial Data in a Critical Space

被引：2

作者：

Dodson, Benjamin ^{[1
]}

机构：

[1] Johns Hopkins Univ, Dept Math, 3400 N Charles St, Baltimore, MD 21218 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2023年 / 2023卷 / 23期

基金：

美国国家科学基金会;

关键词：

GLOBAL WELL-POSEDNESS; RADIAL DATA; DIMENSIONS; NLS;

D O I：

10.1093/imrn/rnac296

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove scattering for a defocusing nonlinear Schrodinger equation with initial data lying in a critical Besov space. In addition, we obtain polynomial bounds on the scattering size as a function of the critical Besov norm.

引用

页码：19932 / 19962

页数：31

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