Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space

In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space. 2020 Mathematics Subject Classification: 35Q55. Keywords: Global well-posedness, nonlinear Schrodinger, critical scaling symmetry.

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Bibliographic Details
Published inRevista matemática iberoamericana Vol. 38; no. 4; pp. 1087 - 1100
Main Author Dodson, Benjamin
Format Journal Article
LanguageEnglish
Spanish
Published European Mathematical Society Publishing House 01.06.2022
Online AccessGet full text
ISSN0213-2230
2235-0616
DOI10.4171/rmi/1295

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Abstract In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space. 2020 Mathematics Subject Classification: 35Q55. Keywords: Global well-posedness, nonlinear Schrodinger, critical scaling symmetry.
AbstractList In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data lying in a critical Sobolev space.
In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space. 2020 Mathematics Subject Classification: 35Q55. Keywords: Global well-posedness, nonlinear Schrodinger, critical scaling symmetry.
In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space.
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Author Dodson, Benjamin
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Snippet In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data lying in a critical Sobolev space.
In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space. 2020...
In this note we prove global well-posedness for the defocusing, cubic nonlinear Schrodinger equation with initial data lying in a critical Sobolev space.
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Title Global well-posedness for the defocusing, cubic nonlinear Schrödinger equation with initial data in a critical space
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