Fourier transform of surface-carried measures of two-dimensional generic surfaces and applications
Abstract:
We give a simple proof of the sharp decay of the Fourier-transform of surface-carried measures of two-dimensional generic surfaces. The estimates are applied to prove Strichartz and resolvent estimates for elliptic operators whose characteristic surfaces satisfy the generic assumptions. We also obtain new results on the spectral and scattering theory of discrete Schrödinger operators on the cubic lattice.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 08.2021 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000136612 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 14 S. |
| Serie | CRC 1173 Preprint ; 2021/37 |
| Projektinformation | SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019) |
| Externe Relationen | Siehe auch |
| Schlagwörter | Oscillatory integrals, dispersive and Strichartz estimates, global well-posedness, spectral theory |
| Nachgewiesen in | arXiv |
| Relationen in KITopen |