A priori estimates for the derivative nonlinear Schrödinger equation
Klaus, Friedrich
; Schippa, Robert
; Schippa, RobertAbstract:
We prove low regularity a priori estimates for the derivative nonlinear Schrödinger equation in Besov spaces with positive regularity index conditional upon small $L^2$ -norm. This covers the full subcritical range. We use the power series expansion of the perturbation determinant introduced by Killip–Vişan–Zhang for completely integrable PDE. This makes it possible to derive low regularity conservation laws from the perturbation determinant.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsdatum | 01.08.2020 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000122587 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 14 S. |
| Serie | CRC 1173 Preprint ; 2020/21 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | dNLS, a priori estimates, integrable PDE, perturbation determinant |