INSTABILITY OF STANDING WAVES TO THE INHOMOGENEOUS NONLINEAR SCHRODINGER EQUATION WITH HARMONIC POTENTIAL

被引：2

作者：

Chen, Jianqing ^{[1
]}

Liu, Yue ^{[2
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

[2] Univ Texas Arlington, Dept Math, Arlington, TX 76019 USA

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2008年 / 52卷 / 04期

关键词：

D O I：

10.1215/ijm/1258554361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the instability of standing-wave solutions e(i omega t)phi(omega)(x) to the inhomogeneous nonlinear Schrodinger equation i phi(t) = -Delta phi + vertical bar x vertical bar(2)phi - vertical bar x vertical bar(b)vertical bar phi vertical bar(p-1)phi, x is an element of R(N), where b > 0 and phi(omega) is a ground-state solution. The results of the instability of standing-wave solutions reveal a balance between the frequency omega of wave and the power of nonlinearity p for any fixed b > 0.

引用

页码：1259 / 1276

页数：18

共 50 条

[31] Orbital stability of standing waves for nonlinear fractional Schrodinger equation with unbounded potential
Liu, Xiaohua
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (03)
[32] Stability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities
De Bouard, A
Fukuizumi, R
[J]. ANNALES HENRI POINCARE, 2005, 6 (06): : 1157 - 1177
[33] GLOBAL WELL-POSEDNESS AND INSTABILITY OF A NONLINEAR SCHRODINGER EQUATION WITH HARMONIC POTENTIAL
Saanouni, T.
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 98 (01) : 78 - 103
[34] Concentrating standing waves for the fractional nonlinear Schrodinger equation
Davila, Juan
del Pino, Manuel
Wei, Juncheng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (02) : 858 - 892
[35] Stability of Standing Waves for the Nonlinear Fractional Schrodinger Equation
Zhang, Jian
Zhu, Shihui
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2017, 29 (03) : 1017 - 1030
[36] Standing waves to discrete vector nonlinear Schrodinger equation
Yang, Minbo
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2011, 17 (10) : 1455 - 1469
[37] STRONG INSTABILITY OF STANDING WAVES FOR NONLINEAR SCHRODINGER EQUATIONS WITH ATTRACTIVE INVERSE POWER POTENTIAL
Fukaya, Noriyoshi
Ohta, Masahito
[J]. OSAKA JOURNAL OF MATHEMATICS, 2019, 56 (04) : 713 - 726
[38] Nonlinear instability of linearly unstable standing waves for nonlinear Schrodinger equations
Georgiev, Vladimir
Ohta, Masahito
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2012, 64 (02) : 533 - 548
[39] Inhomogeneous critical nonlinear Schrodinger equations with a harmonic potential
Cao, Daomin
Han, Pigong
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (04)
[40] Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation
Wang, Yongbin
Feng, Binhua
[J]. AIMS MATHEMATICS, 2020, 5 (05): : 4596 - 4612

← 1 2 3 4 5 →