Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance

Fecha

2021-08-11

Autores

Noguera Salgado, Norman F.
Pastor Ferreira, Ademir

Título de la revista

ISSN de la revista

Título del volumen

Editor

Resumen

In this paper we study the scattering of non-radial solutions in the energy space to coupled system of nonlinear Schrödinger equations with quadratic-type growth interactions in dimension five without the mass-resonance condition. Our approach is based on the recent technique introduced by Dodson and Murphy (Math Res Lett 25:1805–1825, 2018), which relies on an interaction Morawetz estimate. It is proved that any solution below the ground states scatters in time.

Descripción

Palabras clave

Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition., Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition, Primary 35Q55, 35B40, Secondary 35A01

Citación

https://link.springer.com/article/10.1007/s42985-021-00113-8

Colecciones