Titre :

A compactness result for inhomogeneous nonlinear Schrödinger equations

Auteur(s) :

Dinh, Van [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Ho Chi Minh City University of Science [HCMUS]
Keraani, Sahbi [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Titre de la revue :

Nonlinear Analysis: Theory, Methods and Applications

Pagination :

112617

Éditeur :

Elsevier

Date de publication :

2022

ISSN :

0362-546X

Mot(s)-clé(s) en anglais :

Inhomogeneous nonlinear Schrödinger equation
Compactness property
Linear profile decomposition
Nonlinear profile decomposition

Discipline(s) HAL :

Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Mathématiques [math]/Physique mathématique [math-ph]

Résumé en anglais : [en]

We establish a compactness property of the difference between nonlinear and linear operators (or the Duhamel operator) related to the inhomogeneous nonlinear Schr¨odinger equation. The proof is based on a refined profile ...
Lire la suite >We establish a compactness property of the difference between nonlinear and linear operators (or the Duhamel operator) related to the inhomogeneous nonlinear Schr¨odinger equation. The proof is based on a refined profile decomposition for the equation. More precisely, we prove that any sequence (φn)n of H1-functions which converges weakly in H1 to a function φ, the corresponding solutions with initial data φn can be decomposed (up to a remainder term) as a sum of the corresponding solution with initial data φ and solutions to the linear equationLire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL