Instability of standing waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities

被引：30

作者：

Fukuizumi, R ^{[1
]}

Ohta, N

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] Saitama Univ, Fac Sci, Dept Math, Saitama 3388570, Japan

来源：

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY | 2005年 / 45卷 / 01期

关键词：

D O I：

10.1215/kjm/1250282971

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

收藏

页码：145 / 158

页数：14

相关论文

共 26 条

[1] AKLMEDIEV NN, 1982, SOV PHYS JETP, V56, P299
[2] BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313
[3] BERESTYCKI H, 1981, CR ACAD SCI I-MATH, V293, P489
[4] ORBITAL STABILITY OF STANDING WAVES FOR SOME NON-LINEAR SCHRODING EQUATIONS
CAZENAVE, T
LIONS, PL
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (04) : 549 - 561
[5] Cazenave T., 2003, Semilinear Schrodinger equations, V10
[6] Purely nonlinear instability of standing waves with minimal energy
Comech, A
Pelinovsky, D
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2003, 56 (11) : 1565 - 1607
[7] Stability of solitary waves for nonlinear Schrodinger equations with inhomogeneous nonlinearities
Fibich, G
Wang, XP
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2003, 175 (1-2) : 96 - 108
[8] Stability and instability of standing waves for the nonlinear Schrodinger equation with harmonic potential
Fukuizumi, R
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2001, 7 (03) : 525 - 544
[9] Fukuizumi R., 2003, Differential and Integral Equations, V16, P691
[10] STABILITY THEORY OF SOLITARY WAVES IN THE PRESENCE OF SYMMETRY .2.
GRILLAKIS, M
SHATAH, J
STRAUSS, W
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 94 (02) : 308 - 348