Scattering of radial solutions for quadratic-type Schrödinger systems in dimension five

2020/08/28 by Noguera, Norman, Pastor, Ademir · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2008.12696

Abstract

In this paper we study the scattering of radial solutions to a l-component system of nonlinear Schrödinger equations with quadratic-type growth interactions in dimension five. Our approach is based on the recent technique introduced by Dodson and Murphy, which relies on the radial Sobolev embedding and a Morawetz estimate.

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• Energy critical fourth-order Schrödinger equation system with power-type nonlinearities in the radial case
• The focusing energy-critical nonlinear Schrödinger system with power-type growth nonlinearities in the radial case

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