Kappeler, Thomas; Schaad, B; Topalov, P (2017). Scattering-like phenomena of the periodic defocusing nls equation. Mathematical Research Letters, 24(3):803-826.
In this paper we prove approximation properties of the solutions of the defocusing NLS equation on the circle by nearly linear flows. In addition we show that spatially periodic solutions of the defocusing NLS equation evolving in fractional Sobolev spaces Hs with s≥1 remain bounded for all times.
In this paper we prove approximation properties of the solutions of the defocusing NLS equation on the circle by nearly linear flows. In addition we show that spatially periodic solutions of the defocusing NLS equation evolving in fractional Sobolev spaces Hs with s≥1 remain bounded for all times.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 30 September 2017 |
| Deposited On: | 18 Jan 2018 10:56 |
| Last Modified: | 24 Nov 2023 08:07 |
| Publisher: | International Press |
| ISSN: | 1073-2780 |
| Funders: | Schweizerischer Nationalfonds |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.4310/MRL.2017.v24.n3.a9 |
Kappeler, Thomas