In this paper, we consider a Hamiltonian system combining a nonlinear Schrödinger equation (NLS) and an ordinary differential equation. This system is a simplified model of the NLS around soliton solutions. Following Nakanishi , we show scattering of L2 small H1 radial solutions. The proof is based on Nakanishi’s framework and Fermi Golden Rule estimates on L4 in time norms.

On Nonlinear Profile Decompositions and Scattering for an NLS–ODE Model

Scipio Cuccagna;
2020-01-01

Abstract

In this paper, we consider a Hamiltonian system combining a nonlinear Schrödinger equation (NLS) and an ordinary differential equation. This system is a simplified model of the NLS around soliton solutions. Following Nakanishi , we show scattering of L2 small H1 radial solutions. The proof is based on Nakanishi’s framework and Fermi Golden Rule estimates on L4 in time norms.
2020
3-ago-2018
Pubblicato
https://academic.oup.com/imrn/advance-article/doi/10.1093/imrn/rny173/5064316
File in questo prodotto:
File Dimensione Formato  
NLS-ODE_2018_IMRN.pdf

Accesso chiuso

Descrizione: Articolo
Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 630.93 kB
Formato Adobe PDF
630.93 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2932420
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact