relation: https://publications.ut-capitole.fr/id/eprint/50735/
title: Finite time extinction for a damped nonlinear Schrödinger equation in the whole space
creator: Bégout, Pascal
subject: B- ECONOMIE ET FINANCE
description: We consider a nonlinear Schrodinger equation set in the whole space with a single power of interaction and an external source. We first establish existence and uniqueness of the solutions and then show, in low space dimension, that the solutions vanish at a finite time. Under a smallness hypothesis of the initial data and some suitable additional assumptions on the external source, we also show that we can choose the upper bound on which time the solutions vanish.
publisher: Southwest Texas State University
date: 2020-04-28
type: Article
type: PeerReviewed
format: text
language: en
identifier: https://publications.ut-capitole.fr/id/eprint/50735/1/Paper9.pdf
identifier:   Bégout, PascalIdRef <https://www.idref.fr/060322705>  (2020) Finite time extinction for a damped nonlinear Schrödinger equation in the whole space.    Electronic Journal of Differential Equations, Vol. 2020 (N° 39).  pp. 1-18.       
relation: http://tse-fr.eu/pub/130489
relation: 10.58997/ejde.2020.39
identifier: 10.58997/ejde.2020.39
doi: 10.58997/ejde.2020.39
language: en