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Revisiting asymptotic stability of solitons of nonlinear Schrödinger equations via refined profile method

Cuccagna, Scipio
•
Maeda, Masaya
2022
  • journal article

Periodico
JOURNAL OF EVOLUTION EQUATIONS
Abstract
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 profiles” developed by the authors for the analysis of small bound states. By this new strategy, we able to avoid the normal forms. Further, we can track the functions appearing in the Fermi Golden Rule hypothesis.
DOI
10.1007/s00028-022-00806-6
WOS
WOS:000805591700001
Archivio
http://hdl.handle.net/11368/3021691
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85130857030
https://link.springer.com/article/10.1007/s00028-022-00806-6
Diritti
open access
license:copyright editore
license:digital rights management non definito
license uri:iris.pri00
FVG url
https://arts.units.it/request-item?handle=11368/3021691
Soggetti
  • refined profile

  • Fermi Golden Rule

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