2 papers
math.AP2019
Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential
Roberto Feola, Benoît Grébert, Trung Nguyen
In this article we prove a reducibility result for the linear Schrödinger equation on a Zoll manifold with quasi-periodic in time pseudo-differential perturbation of order less or…
math.DS2019
An unstable three dimensional KAM torus for the quintic NLS
Trung Nguyen
We consider the quintic nonlinear Schr{ö}dinger on the circle. By applying a Birkhoff procedure and a KAM theorem, we exihibit a three dimension invariant torus that is linearly un…