Finite time extinction for a damped nonlinear Schrodinger equation in the whole space
Date
2020-04-28
Authors
Begout, Pascal
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a nonlinear Schrödinger 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.
Description
Keywords
Damped Schrödinger equation, Existence, Uniqueness, Finite time extinction, Asymptotic behavior
Citation
Bégout, P. (2020). Finite time extinction for a damped nonlinear Schrodinger equation in the whole space. <i>Electronic Journal of Differential Equations, 2020</i>(39), pp. 1-18.
Rights
Attribution 4.0 International