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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| Published in | Revista matemática iberoamericana Vol. 38; no. 4; pp. 1087 - 1100 |
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| Main Author | |
| Format | Journal Article |
| Language | English Spanish |
| Published |
European Mathematical Society Publishing House
01.06.2022
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| Online Access | Get full text |
| ISSN | 0213-2230 2235-0616 |
| DOI | 10.4171/rmi/1295 |
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| Summary: | 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. |
|---|---|
| ISSN: | 0213-2230 2235-0616 |
| DOI: | 10.4171/rmi/1295 |