89 citations · 264 across the 48 of their papers we have counts for
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math.AP2011★ 3 cited
On asymptotic stability of moving ground states of the nonlinear Schrodinger equation
Scipio Cuccagna
We extend to the case of moving solitons, the result on asymptotic stability of ground states of the NLS with a short range linear potential obtained by the author in a previous pa…
math.AP2011
On stability of standing waves of nonlinear Dirac equations
Nabile Boussaid, Scipio Cuccagna
We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prov…
math.AP2011
On instability of some approximate periodic solutions for the full nonlinear Schrödinger equation
Scipio Cuccagna, Jeremy L. Marzuola
Using the Fermi Golden Rule analysis developed in several results by the first author, we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bo…