The global Cauchy problem for the NLS with higher order anisotropic dispersion
Abstract:
We use a method developed by Strauss to obtain global wellposedness results
in the mild sense for the small data Cauchy problem in modulation spaces $M^s_{p,q}(\mathbb{R}^d)$, where $q = 1$ and $s\ge 0$ or $q \in (1, \infty]$ and $s > \frac{d}{q'}$ for a nonlinear Schrödinger equation with higher order anisotropic dispersion and algebraic nonlinearities.
in the mild sense for the small data Cauchy problem in modulation spaces $M^s_{p,q}(\mathbb{R}^d)$, where $q = 1$ and $s\ge 0$ or $q \in (1, \infty]$ and $s > \frac{d}{q'}$ for a nonlinear Schrödinger equation with higher order anisotropic dispersion and algebraic nonlinearities.
| 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: 1000093751 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 7 S. |
| Serie | CRC 1173 ; 2019/8 |
| Projektinformation | SFB 1173/1 (DFG, DFG KOORD, SFB 1173/1 2015) |
| Schlagwörter | decay estimates, global existence, modulation spaces, nonlinear dispersive equation |