Global well-posedness for the derivative nonlinear Schrödinger equation in H 1/2 (R)

Zihua Guo, Yifei Wu

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

Abstract

We prove that the derivative nonlinear Schrödinger equation is globally well-posed in H 1/2 (R) when the mass of initial data is strictly less than 4π.

Original languageEnglish
Pages (from-to)257-264
Number of pages8
JournalDiscrete and Continuous Dynamical Systems Series A
Volume37
Issue number1
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Global well-posedness
  • Low regularity
  • Nonlinear Schrödinger equation with derivative

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