Global wellposedness of NLS in $H^1(\mathbb{R}) + H^s(\mathbb{T})$
| Autor: | Klaus, Friedrich, Kunstmann, Peer |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show global wellposedness for the defocusing cubic nonlinear Schr\"odinger equation (NLS) in $H^1(\mathbb{R}) + H^{3/2+}(\mathbb{T})$, and for the defocusing NLS with polynomial nonlinearities in $H^1(\mathbb{R}) + H^{5/2+}(\mathbb{T})$. This complements local results for the cubic NLS and global results for the quadratic NLS in this hybrid setting. Comment: 17 pages |
| Databáze: | arXiv |
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