Strichartz estimates for Maxwell equations in media: the structured two dimensional case
Abstract:
We prove Strichartz estimates for two dimensional Maxwell equations with diagonal Lipschitz permittivity of special structure. These estimates have no loss in regularity that occurs in general for $C^1$-coefficients. In particular, in the charge free case we recover Strichartz estimates of wave equations with $C^2$-coefficients in two dimensions up to endpoints.
| 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: 1000154078 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 10 S. |
| Serie | CRC 1173 Preprint ; 2022/74 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Abstract/Volltext |
| Schlagwörter | Maxwell equations, Strichartz estimates, Lipschitz coefficients |