Instability of standing waves for a class of inhomogeneous Schrodinger equations with harmonic potential

被引：0

作者：

Saanouni, T. ^{[1
]}

机构：

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

来源：

RICERCHE DI MATEMATICA | 2022年 / 71卷 / 02期

关键词：

Inhomogeneous non-linear Schrodinger equations; Harmonic potential; Ground state; Instability;

D O I：

10.1007/s11587-020-00528-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This notes studies the inhomogeneous non-linear Schrodinger equations with a harmonic potentiali partial differential i partial derivative(t)u + Delta u - vertical bar x vertical bar(2)u + vertical bar x vertical bar(b)vertical bar u vertical bar(p-1) u = 0. Indeed, following the methods of Fukuizumi and Ohta (Differ Integral Equ 16(6):691-706, 2003), Ohta (Funccialaj Ekvacioj 61:135-143, 2018), the non-linear and strong instability of standing waves are obtained in the two different regimes b > 0.

引用

页码：561 / 580

页数：20

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