{ "id": "2008.12696", "version": "v1", "published": "2020-08-28T14:58:28.000Z", "updated": "2020-08-28T14:58:28.000Z", "title": "Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five", "authors": [ "Norman Noguera", "Ademir Pastor" ], "categories": [ "math.AP" ], "abstract": "In this paper we study the scattering of radial solutions to a $l$-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.", "revisions": [ { "version": "v1", "updated": "2020-08-28T14:58:28.000Z" } ], "analyses": { "keywords": [ "quadratic-type schrödinger systems", "radial solutions", "scattering", "quadratic-type growth interactions", "component system" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }