1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.AP2024
Modified scattering for the cubic Schrödinger equation on Diophantine waveguides
Nicolas Camps, Gigliola Staffilani
We consider the cubic Schrödinger equation posed on a product space subject to a generic Diophantine condition. Our analysis shows that the small-amplitude solutions undergo modifi…
math.AP2024
Long time stability for cubic nonlinear Schrödinger equations on non-rectangular flat tori
Joackim Bernier, Nicolas Camps
We consider nonlinear Schrödinger equations on flat tori satisfying a simple and explicit Diophantine non-degeneracy condition. Provided that the nonlinearity contains a cubic term…
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…