In this note, we give an alternative proof of the theorem on soliton selection for small-energy solutions of nonlinear Schrödinger equations (NLS) studied in (Cuccagna and Maeda, Anal PDE 8(6):1289–1349, 2015; Cuccagna and Maeda, Ann PDE 7:16, 2021). As in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we use the notion of refined profile, but unlike in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we do not modify the modulation coordinates and do not search for Darboux coordinates.
A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential
Cuccagna S.
Writing – Original Draft Preparation
;Maeda M.Writing – Original Draft Preparation
2022-01-01
Abstract
In this note, we give an alternative proof of the theorem on soliton selection for small-energy solutions of nonlinear Schrödinger equations (NLS) studied in (Cuccagna and Maeda, Anal PDE 8(6):1289–1349, 2015; Cuccagna and Maeda, Ann PDE 7:16, 2021). As in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we use the notion of refined profile, but unlike in (Cuccagna and Maeda, Ann PDE 7:16, 2021), we do not modify the modulation coordinates and do not search for Darboux coordinates.File in questo prodotto:
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[Springer INdAM Series, 52] Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone - Qualitative Properties of Dispersive PDEs (2023, Springer) - libgen.li-1-33.pdf
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