H1 Scattering for Mass-Subcritical NLS with Short-Range Nonlinearity and Initial Data in Σ

N. Burq, V. Georgiev, N. Tzvetkov, N. Visciglia*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider short-range mass-subcritical nonlinear Schrödinger equations, and we show that the corresponding solutions with initial data in Σ scatter in H1. Hence we up-grade the classical scattering result proved by Yajima and Tsutsumi from L2 to H1. We also provide some partial results concerning the scattering of the first order moments, as well as a short proof via lens transform of a classical result due to Tsutsumi and Cazenave–Weissler on the scattering in Σ.

Original languageEnglish
JournalAnnales Henri Poincare
DOIs
Publication statusAccepted/In press - 2022

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Nuclear and High Energy Physics
  • Mathematical Physics

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