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

Abstract In this paper, we consider the focusing, L 2 -supercritical and H ˙ 2 -subcritical fourth-order nonlinear Schrödinger 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 les...

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Bibliographic Details
Published inNonlinearity Vol. 37; no. 8; pp. 85003 - 85040
Main Authors Komada, Koichi, Masaki, Satoshi
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2024
Subjects
fourth-order nonlinear Schrödinger equation
group invariance
Primary 35Q55
profile decomposition
scattering theory
Secondary 35Q40
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Summary:Abstract In this paper, we consider the focusing, L 2 -supercritical and H ˙ 2 -subcritical fourth-order nonlinear Schrödinger 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.
Bibliography:NON-107642.R2
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/ad5639