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