Begout, Pascal2021-09-222021-09-222020-04-28Bégout, 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. 1-18.1072-6691https://hdl.handle.net/10877/14545We 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.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalDamped Schrödinger equationExistenceUniquenessFinite time extinctionAsymptotic behaviorArticle