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

Norman Noguera () and Ademir Pastor ()
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Norman Noguera: Ciudad Universitaria Carlos Monge Alfaro
Ademir Pastor: IMECC-UNICAMP

Partial Differential Equations and Applications, 2021, vol. 2, issue 4, 1-30

Abstract: 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.

Keywords: Schrödinger systems; Quadratic-type interactions; Scattering; Mass-resonance condition; Primary 35Q55; 35B40; Secondary 35A01 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s42985-021-00113-8

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