SCATTERING BELOW THE GROUND STATE FOR THE 2d RADIAL NONLINEAR SCHRODINGER EQUATION

被引：18

作者：

Arora, Anudeep Kumar ^{[1
]}

Dodson, Benjamin ^{[2
]}

Murphy, Jason ^{[3
]}

机构：

[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

[2] Johns Hopkins Univ, Dept Math, Baltimore, MD 21218 USA

[3] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 04期

关键词：

PROOF;

D O I：

10.1090/proc/14824

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the problem of scattering below the ground state threshold for the mass-supercritical focusing nonlinear Schrodinger equation in two space dimensions. We present a simple new proof that treats the case of radial initial data. The key ingredient is a localized virial/Morawetz estimate; the radial assumption aids in controlling the error terms resulting from the spatial localization.

引用

页码：1653 / 1663

页数：11

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