Low regularity well-posedness of KP-I equations: the three-dimensional case
Abstract:
In this paper, low regularity local well-posedness results for the Kadomtsev–Petviashvili–I equation posed in spatial dimension $d=3$ are proved. Periodic, non-periodic and mixed settings as well as generalized dispersion relations are considered. In the weak dispersion regime, these initial value problems show a quasilinear behavior so that bilinear and energy estimates on frequency dependent time scales are used in the analysis.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 12.2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000154192 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 36 S. |
| Serie | CRC 1173 Preprint ; 2022/81 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | KP-I equation, local well-posedness, short-time Fourier restriction norm method |