Nonlinear wave equations with slowly decaying initial data
Abstract:
New local smoothing estimates in Besov spaces adapted to the half-wave group are proved via $\ell^2$ -decoupling. We apply these estimates to obtain new well-posedness results for the cubic nonlinear wave equation in two dimensions. The results are compared to new well-posedness results in $L^p$ -based Sobolev spaces.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 03.2022 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000143726 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 27 S. |
| Serie | CRC 1173 Preprint ; 2022/18 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | nonlinear wave equations, adapted function spaces, $l^2$-decoupling |
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