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

 

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون: Noguera Salgado, Norman F., Pastor Ferreira, Ademir
التنسيق: artículo original
تاريخ النشر:2021
الوصف: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.
البلد:Kérwá
المؤسسة:Universidad de Costa Rica
Repositorio:Kérwá
اللغة:Inglés
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/91937
الوصول للمادة أونلاين:https://link.springer.com/article/10.1007/s42985-021-00113-8
https://hdl.handle.net/10669/91937
كلمة مفتاحية:Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition.
Schrödinger systems
Quadratic-type interactions
Scattering
Mass-resonance condition
Primary 35Q55
35B40
Secondary 35A01