4 citations · 19 across the 10 of their papers we have counts for
16 papers
Asymptotic stability of kink with internal modes under odd perturbation
Scipio Cuccagna, Masaya Maeda
We give a sufficient condition, in the spirit of Kowalczyk-Martel-Munoz-Van Den Bosch \cite{KMMvdB21AnnPDE}, for the local asymptotic stability of kinks under odd perturbations. In…
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…
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 (…
A survey on asymptotic stability of ground states of nonlinear Schrodinger equations II
Scipio Cuccagna, Masaya Maeda
We give short survey on the question of asymptotic stability of ground states of nonlinear Schrödinger equations, focusing primarily on the so called nonlinear Fermi Golden Rule.
Coordinates at small energy and refined profiles for the Nonlinear Schrödinger Equation
Scipio Cuccagna, Masaya Maeda
In this paper we give a new and simplified proof of the theorem on selection of standing waves for small energy solutions of the nonlinear Schrödinger equations (NLS) that we gave…
Stabilization of small solutions of discrete NLS with potential having two eigenvalues
Masaya Maeda
We study the long time behavior of small (in ) solutions of discrete nonlinear Schrödinger equations with potential. In particular, we are interested in the case that the corr…