Scattering For Mass-resonance Nonlinear Schr\"odinger System in 5D
Analysis of PDEs
2020-01-22 v1
Abstract
In this paper, we simplify the proof of M. Hamano in \cite{Hamano2018}, scattering theory of the solution to \eqref{NLS system}, by using the method from B. Dodson and J. Murphy in \cite{Dodson2018}. Firstly, we establish a criterion to ensure the solution scatters in . In order to verify the correctness of the condition in scattering criterion, we must exclude the concentration of mass near the origin. The interaction Morawetz estimate and Galilean transform characterize a decay estimate, which implies that the mass of the system cannot be concentrated.
Cite
@article{arxiv.2001.06835,
title = {Scattering For Mass-resonance Nonlinear Schr\"odinger System in 5D},
author = {Fanfei Meng and Chengbin Xu},
journal= {arXiv preprint arXiv:2001.06835},
year = {2020}
}