On the dynamics of a quadratic Schrödinger system in dimension n = 5

dc.creator	Noguera Salgado, Norman F.
dc.creator	Pastor Ferreira, Ademir
dc.date.accessioned	2024-08-05T17:34:07Z
dc.date.available	2024-08-05T17:34:07Z
dc.date.issued	2018-10-02
dc.description.abstract	In this work we give a sharp criterion for the global well-posedness, in the energy space, for a system of nonlinear Schr¨odinger equations with quadratic interaction in dimension n = 5. The criterion is given in terms of the charge and energy of the ground states associated with the system, which are obtained by minimizing a Weinstein-type functional. The main result is then obtained in view of a sharp Gagliardo-Nirenberg-type inequality.
dc.description.procedence	Sede de Occidente	es_ES
dc.identifier.citation	https://intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0017/0001/a001/index.php	es_ES
dc.identifier.doi	10.4310/DPDE.2020.v17.n1.a1
dc.identifier.issn	2163-7873
dc.identifier.issn	1548-159X
dc.identifier.uri	https://hdl.handle.net/10669/91940
dc.language.iso	eng	es_ES
dc.rights	acceso abierto
dc.source	Dynamics of Partial Different Equations, 17(1)
dc.subject	Global well-posedness
dc.subject	Schrödinger systems
dc.subject	blow up
dc.subject	Ground states solutions
dc.title	On the dynamics of a quadratic Schrödinger system in dimension n = 5	es_ES
dc.type	artículo original

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