89 citations · 264 across the 48 of their papers we have counts for
8 papers · 2 filters
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…
On asymptotic stability of ground states of NLS with a finite bands periodic potential in 1D
Scipio Cuccagna, Nicola Visciglia
We consider a nonlinear Schroedinger equation with a finite bands periodic potential in R . We assume the existence of an orbitally stable family of ground states. We prove that un…
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 of standing waves of discrete Schrödinger equation in
Scipio Cuccagna, Mirko Tarulli
We prove an analogue of a classical asymptotic stability result of standing waves of the Schrödinger equation originating in work by Soffer and Weinstein. Specifically, our result…
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…
On asymptotic stability in energy space of ground states of NLS in 2D
S. Cuccagna, M. Tarulli
We transpose work by K.Yajima and by T.Mizumachi to prove dispersive and smoothing estimates for dispersive solutions of the linearization at a ground state of a Nonlinear Schrödin…
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,…