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

 

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Dettagli Bibliografici
Autori: Noguera Salgado, Norman F., Pastor Ferreira, Ademir
Natura: artículo original
Data di pubblicazione:2021
Descrizione: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.
Stato:Kérwá
Istituzione:Universidad de Costa Rica
Repositorio:Kérwá
Lingua:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91937
Accesso online:https://link.springer.com/article/10.1007/s42985-021-00113-8
https://hdl.handle.net/10669/91937
Keyword:Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition.
Schrödinger systems
Quadratic-type interactions
Scattering
Mass-resonance condition
Primary 35Q55
35B40
Secondary 35A01