7 citations · 9 across the 2 of their papers we have counts for
Showing math.APShow all
3 papers · 1 filter
math.AP2021
On a stationary Schr{ö}dinger equation with periodic magnetic potential
Pascal Bégout, Ian Schindler
We prove existence results for a stationary Schr{ö}dinger equation with periodic magnetic potential satisfying a local integrability condition on the whole space using a critical v…
math.AP2020★ 2 cited
Finite time extinction for a damped nonlinear Schr{ö}dinger equation in the whole space
Pascal Bégout
We consider a nonlinear Schr{ö}dinger equation set in the whole space with a single power of interaction and an external source. We first establish existence and uniqueness of the…
math.AP2012★ 7 cited
Convergence to Scattering States in the Nonlinear Schrödinger Equation
Pascal Bégout
In this paper, we consider global solutions of the following nonlinear Schrödinger equation in with $(α\in(0,\infty…