Dispersive estimates, blow-up and failure of Strichartz estimates for the Schrödinger equation with slowly decaying initial data
Abstract:
The initial value problem for the homogeneous Schrödinger equation is investigated for radially symmetric initial data with slow decay rates and not too wild oscillations. Our global wellposedness results apply to initial data for which Strichartz estimates fail.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsjahr | 2019 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000099116 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 15 S. |
| Serie | CRC 1173 ; 2019/17 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Schlagwörter | Schrödinger equation, failure of Strichartz estimates |