Optimal regularity of Fourier integral operators with one-sided folds
| dc.creator | Comech, Andrew | |
| dc.date | 2006-09-01 | |
| dc.date | 2006-09-04 | |
| dc.date.accessioned | 2026-07-07T07:24:24Z | |
| dc.date.available | 2026-07-07T07:24:24Z | |
| dc.description | We obtain optimal continuity in Sobolev spaces for the Fourier integral operators associated to singular canonical relations, when one of the two projections is a Whitney fold. The regularity depends on the type, $k$, of the other projection from the canonical relation ($k=1$ for a Whitney fold). We prove that one loses $(4+\frac{2}{k})^{-1}$ of a derivative in the regularity properties. The proof is based on the $L^2$ estimates for oscillatory integral operators. | |
| dc.identifier | https://arxiv.org/abs/math/0609025 | |
| dc.identifier | http://arxiv.org/abs/math/0609025 | |
| dc.identifier | Comm. Partial Differential Equations 24 (1999), 1263--1281 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116339 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Optimal regularity of Fourier integral operators with one-sided folds | |
| dc.type | text |