89 citations · 264 across the 48 of their papers we have counts for
5 papers · 2 filters
On the asymptotic stability on the line of ground states of the pure power NLS with
Scipio Cuccagna, Masaya Maeda
We continue our series devoted, after references \cite{CM24D1} and \cite{CM243}, at proving the asymptotic stability of ground states of the pure power Nonlinear Schrödinger equati…
On small energy solutions of the Nonlinear Schrödinger Equation in 1D with a generic trapping potential with a single eigenvalue
Scipio Cuccagna, Masaya Maeda
We prove in dimension a result similar to Soffer and Weinstein Jour. Diff. Eq. 98 (1992) capturing for pure power nonlinearities the whole range of exponents . The proof…
A note on the Fermi Golden Rule constant for the pure power NLS
Scipio Cuccagna, Masaya Maeda
We provide a detailed proof that the Nonlinear Fermi Golden Rule coefficient that appears in our recent proof of the asymptotic stability of ground states for the pure power Nonlin…
On the asymptotic stability of ground states of the pure power NLS on the line at 3rd and 4th order Fermi Golden Rule
Scipio Cuccagna, Masaya Maeda
Assuming as hypotheses the results proved numerically by Chang et al. \cite{Chang} for the exponent , we prove that some of the ground states of the nonlinear Schröding…
The asymptotic stability on the line of ground states of the pure power NLS with
Scipio Cuccagna, Masaya Maeda
For exponents satisfying and only in the context of spatially even solutions we prove that the ground states of the nonlinear Schrödinger equation (NLS) with pur…