## 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 language | English (US) |
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Pages (from-to) | 293-303 |

Number of pages | 11 |

Journal | Communications in Partial Differential Equations |

Volume | 36 |

Issue number | 2 |

DOIs | |

State | Published - Feb 2011 |

## Keywords

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

## ASJC Scopus subject areas

- Analysis
- Applied Mathematics

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