Scattering for quadratic-type Schrödinger systems in dimension five without mass-resonance
Date
2021-08-11
Type
artículo original
Authors
Noguera Salgado, Norman F.
Pastor Ferreira, Ademir
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Abstract
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.
Description
Keywords
Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition., Schrödinger systems, Quadratic-type interactions, Scattering, Mass-resonance condition, Primary 35Q55, 35B40, Secondary 35A01