THE GLOBAL CAUCHY PROBLEM FOR THE NLS WITH HIGHER ORDER ANISOTROPIC DISPERSION
Abstract:
We use a method developed by Strauss to obtain global well-posedness results in the mild sense and existence of asymptotic states for the small data Cauchy problem in modulation spaces Ms¦(p,q) (R$^{d}$), where q=1 and s ≥0 or q ∈ (1, ∞] and s> d¦q' for a nonlinear Schr¨odinger equation with higher order anisotropic dispersion and algebraic nonlinearities.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 01.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 0017-0895, 1469-509X KITopen-ID: 1000104829 |
| Erschienen in | The Glasgow mathematical journal |
| Verlag | Cambridge University Press (CUP) |
| Band | 63 |
| Heft | 1 |
| Seiten | 45-53 |
| Vorab online veröffentlicht am | 12.12.2019 |
| Schlagwörter | 2010 Mathematics Subject Classification. Primary 35A01, 35A02, 35Q55; Secondary 35B40 |
| Nachgewiesen in | Dimensions Scopus Web of Science |