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A Note on Small Data Soliton Selection for Nonlinear Schrödinger Equations with Potential

Cuccagna S.
•
Maeda M.
2022
  • book part

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.
DOI
10.1007/978-981-19-6434-3_1
WOS
WOS:000980749800001
Archivio
https://hdl.handle.net/11368/3046538
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85143796709
https://link.springer.com/chapter/10.1007/978-981-19-6434-3_1
Diritti
open access
license:copyright editore
license:copyright editore
license uri:iris.pri02
license uri:iris.pri02
FVG url
https://arts.units.it/request-item?handle=11368/3046538
Soggetti
  • Refined profile

  • asymptotic stability

  • normal forms

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