19 citations · 32 across the 9 of their papers we have counts for
8 papers · 1 filter
Orbitally but not asymptotically stable ground states for the discrete NLS
Scipio Cuccagna
We consider examples of discrete nonlinear Schroedinger equations in Z admitting ground states which are orbitally but not asymptotically stable in l ^2(Z). The ground states conta…
Scattering for small energy solutions of NLS with periodic potential in 1D
Scipio Cuccagna, Nicola Visciglia
We prove scattering for small solutions to of nonlinear Schroedinger equations in 1D with a space periodic potential
On asymptotic stability in 3D of kinks for the model
Scipio Cuccagna
We add to a kink, which is a 1 dimensional structure, two transversal directions. We then check its asymptotic stability with respect to compactly supported perturbations in 3D and…
An invariant set in energy space for supercritical NLS in 1D
Scipio Cuccagna
We consider radial solutions of a mass supercritical monic NLS and we prove the existence of a set, which looks like a hypersurface, in the space of finite energy functions, invari…
On instability of excited states of the nonlinear Schrödinger equation
Scipio Cuccagna
We introduce a new notion of linear stability for standing waves of the nonlinear Schrödinger equation (NLS) which requires not only that the spectrum of the linearization be real,…
Strichartz estimates for Schroedinger equations with periodic potential in 1D
Scipio Cuccagna, Nicola Visciglia
This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3