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arXiv:2303.12351 [math.AP]AbstractReferencesReviewsResources

Scattering below ground states for a class of systems of nonlinear Schrodinger equations

Satoshi Masaki, Ryusei Tsukuda

Published 2023-03-22Version 1

In this paper, we consider the scattering problem for a class of $N$-coupled systems of the cubic nonlinear Schr\"odinger equations in three space dimensions. We prove the scattering of solutions that have a mass-energy quantity less than that for the ground states. This result is previously obtained by Duyckaerts-Holmer-Roudenko for the single cubic nonlinear Schr\"odinger equation in three space dimensions. It turns out that the result can be extended to a wide class of $N$-coupled systems.

Comments: 22 pages, no figure
Categories: math.AP
Subjects: 35Q55, 35B40
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