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EnglishFor the defocusing nonlinear Schrö dinger equation on the circle, we construct a Birkhoff map Φ which is tame majorant analytic in a neighborhood of the origin. Roughly speaking, majorant analytic means that replacing the coefficients of the Taylor expansion of Φ by their absolute values gives rise to a series (the majorant map) which is uniformly and absolutely convergent, at least in a small neighborhood. Tame majorant analytic means that the majorant map of Φ fulfills tame estimates. The proof is based on a new tame version of the Kuksin-Perelman theorem (2010 Discrete Contin. Dyn. Syst. 1 1-24), which is an infinite dimensional Vey type theorem.
Tame majorant analyticity for the Birkhoff map of the defocusing nonlinear Schrödinger equation on the circle / Maspero, A.. - In: NONLINEARITY. - ISSN 0951-7715. - 31:5(2018), pp. 1981-2030.
| Titolo: | Tame majorant analyticity for the Birkhoff map of the defocusing nonlinear Schrödinger equation on the circle |
| Autori: | Maspero, A. |
| Rivista: | |
| Data di pubblicazione: | 2018 |
| Volume: | 31 |
| Fascicolo: | 5 |
| Pagina iniziale: | 1981 |
| Pagina finale: | 2030 |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1088/1361-6544/aaa7ba |
| URL: | https://arxiv.org/abs/1707.01668 |
| Appare nelle tipologie: | 1.1 Journal article |
File in questo prodotto:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| vey_tame.pdf | Documento in Post-print | Non specificato | Open Access Visualizza/Apri |
http://hdl.handle.net/20.500.11767/77238
