Scattering of radial solutions for quadratic-type Schr\"{o}dinger systems in dimension five
Analysis of PDEs
2020-08-31 v1
Abstract
In this paper we study the scattering of radial solutions to a -component system of nonlinear Schr\"{o}dinger equations with quadratic-type growth interactions in dimension five. Our approach is based on the recent technique introduced by Dodson and Murphy, which relies on the radial Sobolev embedding and a Morawetz estimate.
Keywords
Cite
@article{arxiv.2008.12696,
title = {Scattering of radial solutions for quadratic-type Schr\"{o}dinger systems in dimension five},
author = {Norman Noguera and Ademir Pastor},
journal= {arXiv preprint arXiv:2008.12696},
year = {2020}
}