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math.AP2024
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…
math.AP2024
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…
math.AP2024★ 1 cited
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…