37 citations · 110 across the 23 of their papers we have counts for
Showing 2023 · math.APShow all
2 papers · 2 filters
math.AP2023★ 1 cited
Exponential stability of solutions to the Schr{ö}dinger-Poisson equation
Joackim Bernier, Nicolas Camps, Benoît Grébert +1
We prove an exponential stability result for the small solutions of the Schr{ö}dinger-Poisson equation on the circle without exterior parameters in Gevrey class. More precisely we…
math.AP2023
Dynamics of quintic nonlinear Schr{ö}dinger equations in
Joackim Bernier, Benoît Grébert, Tristan Robert
In this paper, we succeed in integrating Strichartz estimates (encoding the dispersive effects of the equations) in Birkhoff normal form techniques. As a consequence, we deduce a r…