Almost surely smoothed scattering for cubic NLS
Fuente:
arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916453214584832 |
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| author | Burq, Nicolas Koch, Herbert Visciglia, Nicola Tzvetkov, Nikolay |
| author_facet | Burq, Nicolas Koch, Herbert Visciglia, Nicola Tzvetkov, Nikolay |
| contents | We consider cubic NLS in dimensions 2, 3, 4 and we prove that almost surely solutions with randomized initial data at low regularity scatter. Moreover, we establish some smoothing properties of the associated scattering operator and precise the rate of convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07713 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost surely smoothed scattering for cubic NLS Burq, Nicolas Koch, Herbert Visciglia, Nicola Tzvetkov, Nikolay Analysis of PDEs 35Q55, 35R60 We consider cubic NLS in dimensions 2, 3, 4 and we prove that almost surely solutions with randomized initial data at low regularity scatter. Moreover, we establish some smoothing properties of the associated scattering operator and precise the rate of convergence. |
| title | Almost surely smoothed scattering for cubic NLS |
| topic | Analysis of PDEs 35Q55, 35R60 |
| url | https://arxiv.org/abs/2406.07713 |