89 citations · 264 across the 48 of their papers we have counts for
Showing 2006 · math.APShow all
2 papers · 2 filters
math.AP2006★ 7 cited
Dispersion for Schrödinger equation with periodic potential in 1D
Scipio Cuccagna
We extend a result on dispersion for solutions of the linear Schrödinger equation, proved by Firsova for operators with finitely many energy bands only, to the case of smooth poten…
math.AP2006
Nonlinear instability of a critical traveling wave in the generalized Korteweg -- de Vries equation
Andrew Comech, Scipio Cuccagna, Dmitry Pelinovsky
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equation, the one with the speed at the border between the stability and instabilit…