REMARKS ON THE DAMPED NONLINEAR SCHRODINGER EQUATION

被引：4

作者：

Saanouni, Tarek ^{[1
]}

机构：

[1] Qassim Univ, Coll Sci & Arts Uglat Asugour, Dept Math, Buraydah, Saudi Arabia

来源：

EVOLUTION EQUATIONS AND CONTROL THEORY | 2020年 / 9卷 / 03期

关键词：

Nonlinear Schrodinger equation; damping; global existence; scattering; GLOBAL-SOLUTIONS; WELL-POSEDNESS; CAUCHY-PROBLEM; DISSIPATION; DECAY;

D O I：

10.3934/eect.2020030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is the purpose of this note to investigate the initial value problem for a focusing semi-linear damped Schrodinger equation. Indeed, in the energy sub-critical regime, one obtains global well-posedness and scattering in the energy space, depending on the order of the fractional dissipation.

引用

页码：721 / 732

页数：12

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