89 citations · 264 across the 48 of their papers we have counts for
Showing 2021 · math.APShow all
3 papers · 2 filters
math.AP2021★ 1 cited
Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method
Scipio Cuccagna, Masaya Maeda
In this paper, we give an alternative proof for the asymptotic stability of solitons for nonlinear Schrödinger equations with internal modes. The novel idea is to use "refined prof…
math.AP2021
On selection of standing wave at small energy in the 1D Cubic Schrödinger Equation with a trapping potential
Scipio Cuccagna, Masaya Maeda
Combining virial inequalities by Kowalczyk, Martel and Munoz and Kowalczyk, Martel, Munoz and Van Den Bosch with our theory on how to derive nonlinear induced dissipation on discre…
math.AP2021★ 2 cited
A note on small data soliton selection for nonlinear Schrödinger equations with potential
Scipio Cuccagna, Masaya Maeda
In this note, we give an alternative proof of the theorem on soliton selection for small energy solutions of nonlinear Schrödinger equations (NLS) which we studied in Anal. PDE 8 (…