Higher-order NLS with anisotropic dispersion and modulation spaces: a global existence and scattering result
Chaichenets, L.
; Pattakos, N. 1
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
; Pattakos, N. 11 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)
Abstract:
In this paper we transfer a small data global existence and scattering result by Wang and Hudzik to the more general case of modulation spaces $M_{p,
q}^s(\mathbb{R}^d)$ where $q=1$ and $s≥0$ or $q ∈ (1,∞]$ and $s
> \frac{d}{q'}$ and to the nonlinear Schrödinger equation with higher order anisotropic dispersion.
q}^s(\mathbb{R}^d)$ where $q=1$ and $s≥0$ or $q ∈ (1,∞]$ and $s
> \frac{d}{q'}$ and to the nonlinear Schrödinger equation with higher order anisotropic dispersion.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsdatum | 07.08.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 0033-5606, 1464-3847 KITopen-ID: 1000160434 |
| Umfang | 9 S. |
| Nachgewiesen in | arXiv Dimensions |
| Relationen in KITopen |