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Scattering for the focusing, $ L^2 $-supercritical fourth-order NLS in one dimension.

Authors :
Komada, Koichi
Masaki, Satoshi
Source :
Discrete & Continuous Dynamical Systems: Series A; Feb2025, Vol. 45 Issue 2, p1-31, 31p
Publication Year :
2025

Abstract

In this paper, we consider the fourth-order Schrödinger equations with focusing, $ L^2 $-supercritical nonlinearity in one dimension. We prove the global existence and scattering of even solutions below the ground state threshold, under the assumption that the threshold for even solutions is less than a certain constant times the threshold for general solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10780947
Volume :
45
Issue :
2
Database :
Complementary Index
Journal :
Discrete & Continuous Dynamical Systems: Series A
Publication Type :
Academic Journal
Accession number :
180808390
Full Text :
https://doi.org/10.3934/dcds.2024100