Title :

A compactness result for inhomogeneous nonlinear Schrödinger equations

Author(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]

Journal title :

Nonlinear Analysis: Theory, Methods and Applications

Pages :

112617

Publisher :

Elsevier

Publication date :

2022

ISSN :

0362-546X

English keyword(s) :

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

HAL domain(s) :

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

English abstract : [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 ...
Show more >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 equationShow less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL