TY  - JOUR
CY  - San Marcos, TX
ID  - publications50735
UR  - http://tse-fr.eu/pub/130489
IS  - N° 39
A1  - Bégout, Pascal
N2  - 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.
VL  - Vol. 2020
TI  - Finite time extinction for a damped nonlinear Schrödinger equation in the whole space
AV  - public
EP  - 18
Y1  - 2020/04/28/
PB  - Southwest Texas State University
JF  - Electronic Journal of Differential Equations
KW  - Damped Schrodinger equation
KW  - existence
KW  - uniqueness
KW  - finite time extinction
KW  - asymptotic behavior
SN  - 1550-6150
SP  - 1
ER  -