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arXiv · 2303.12351

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

Satoshi Masaki·Ryusei Tsukuda
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Abstract

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.

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Satoshi Masaki, Ryusei Tsukuda. 2023-03-22. Scattering below ground states for a class of systems of nonlinear Schrodinger equations. https://arxiv.org/abs/2303.12351

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