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.

引用

页数：38

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