Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation

Mathieu Lewin; Simona Rota Nodari

doi:10.1007/s00030-014-0300-3

Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation

Mathieu Lewin
, Simona Rota Nodari

CY Cergy Paris Université
CNRS UMR 8524

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

8 Citations (Scopus)

Résumé

We prove the uniqueness and non-degeneracy of positive solutions to a cubic nonlinear Schrödinger (NLS) type equation that describes nucleons. The main difficulty stems from the fact that the mass depends on the solution itself. As an application, we construct solutions to the σ–ω model, which consists of one Dirac equation coupled to two Klein–Gordon equations (one focusing and one defocusing).

langue originale	Anglais
Pages (de - à)	673-698
Nombre de pages	26
journal	Nonlinear Differential Equations and Applications
Volume	22
Numéro de publication	4
Les DOIs	https://doi.org/10.1007/s00030-014-0300-3
état	Publié - 21 août 2015
Modification externe	Oui

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10.1007/s00030-014-0300-3

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@article{d3d46f48b69043eb8d499b7f228f9691,

title = "Uniqueness and non-degeneracy for a nuclear nonlinear Schr{\"o}dinger equation",

abstract = "We prove the uniqueness and non-degeneracy of positive solutions to a cubic nonlinear Schr{\"o}dinger (NLS) type equation that describes nucleons. The main difficulty stems from the fact that the mass depends on the solution itself. As an application, we construct solutions to the σ{\textendash}ω model, which consists of one Dirac equation coupled to two Klein{\textendash}Gordon equations (one focusing and one defocusing).",

author = "Mathieu Lewin and \{Rota Nodari\}, Simona",

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year = "2015",

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T1 - Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation

AU - Lewin, Mathieu

AU - Rota Nodari, Simona

PY - 2015/8/21

Y1 - 2015/8/21

N2 - We prove the uniqueness and non-degeneracy of positive solutions to a cubic nonlinear Schrödinger (NLS) type equation that describes nucleons. The main difficulty stems from the fact that the mass depends on the solution itself. As an application, we construct solutions to the σ–ω model, which consists of one Dirac equation coupled to two Klein–Gordon equations (one focusing and one defocusing).

AB - We prove the uniqueness and non-degeneracy of positive solutions to a cubic nonlinear Schrödinger (NLS) type equation that describes nucleons. The main difficulty stems from the fact that the mass depends on the solution itself. As an application, we construct solutions to the σ–ω model, which consists of one Dirac equation coupled to two Klein–Gordon equations (one focusing and one defocusing).

U2 - 10.1007/s00030-014-0300-3

DO - 10.1007/s00030-014-0300-3

M3 - Article

AN - SCOPUS:84939567886

SN - 1021-9722

VL - 22

SP - 673

EP - 698

JO - Nonlinear Differential Equations and Applications

JF - Nonlinear Differential Equations and Applications

IS - 4

ER -

Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation

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