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ON STABILITY OF SMALL SOLITONS OF THE 1-D NLS WITH A TRAPPING DELTA POTENTIAL

Scipio Cuccagna
•
Masaya Maeda
2019
  • journal article

Periodico
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Abstract
We consider a nonlinear Schrodinger equation (NLS) with a very general nonlinear term and with a trapping delta potential on the line. We then discuss the asymptotic behavior of all its small solutions, generalizing a recent result by Masaki, Murphy, and Segata [Anal. PDE, to appear] by means of virial-like inequalities. We give also a result of dispersion in the case of defocusing equations with a nontrapping delta potential.
DOI
10.1137/19M1258402
WOS
WOS:000546893900003
Archivio
http://hdl.handle.net/11368/2953057
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85076410582
https://epubs.siam.org/doi/abs/10.1137/19M1258402
Diritti
open access
license:copyright editore
license:digital rights management non definito
FVG url
https://arts.units.it/request-item?handle=11368/2953057
Soggetti
  • Schrodinger equation

  • standing wave

  • stability

Web of Science© citazioni
10
Data di acquisizione
Jan 28, 2024
Visualizzazioni
2
Data di acquisizione
Apr 19, 2024
Vedi dettagli
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