Correction to "global well-posedness and polynomial bounds for the defocusing L2-critical nonlinear Schrödinger equation in ℝ"

Daniela de Silva, Nataša Pavlović, Gigliola Staffilani, Nikolaos Tzirakis

Research output: Contribution to journalArticlepeer-review

Abstract

In this correction we prove that the first modified energy of the quintic Schrödinger equation in 1d has an inverse square decay with respect to a very large frequency parameter N, without using an argument presented in the paper [4] which contains a mistake, see errata [5]. This estimate, when applied to the machinery that was developed in [2], gives global well-posedness for the initial value problem in question for any s > 1/3, as was claimed in [2].

Original languageEnglish (US)
Pages (from-to)293-303
Number of pages11
JournalCommunications in Partial Differential Equations
Volume36
Issue number2
DOIs
StatePublished - Feb 2011

Keywords

  • Global well-posedness
  • Nonlinear Schrödinger equation
  • Nonlinear dispersive equations

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Correction to "global well-posedness and polynomial bounds for the defocusing L2-critical nonlinear Schrödinger equation in ℝ"'. Together they form a unique fingerprint.

Cite this