Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation

被引：0
|
作者：
Komada, Koichi [1 ]
Masaki, Satoshi [2 ]
机构：
[1] Ritsumeikan Univ, Ritsumeikan Global Innovat Res Org, Kusatsu, Shiga 5258577, Japan
[2] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
NONLINEARITY | 2024年 / 37卷 / 08期
关键词：
fourth-order nonlinear Schr & ouml; dinger equation; scattering theory; group invariance; profile decomposition; GLOBAL WELL-POSEDNESS; SCHRODINGER-EQUATION; BLOW-UP; DYNAMICS;
D O I：
10.1088/1361-6544/ad5639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the focusing, L 2-supercritical and H (center dot) 2 -subcritical fourth-order nonlinear Schr & ouml;dinger equations. We show the scattering of group-invariant solutions below the ground state threshold, under the hypothesis that the threshold for group-invariant solutions is less than a certain value.
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页数：38
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