Cutting the loss of derivatives for solvability under condition (psi)
| dc.creator | Lerner, Nicolas | |
| dc.date | 2005-12-20 | |
| dc.date.accessioned | 2026-07-07T06:55:32Z | |
| dc.date.available | 2026-07-07T06:55:32Z | |
| dc.description | For a principal type pseudodifferential operator, we prove that condition (psi) implies local solvability with a loss of 3/2 derivatives. We use many elements of Dencker's paper on the proof of the Nirenberg-Treves conjecture and we provide some improvements of the key energy estimates which allows us to cut the loss of derivatives from 2 (Dencker's result) to 3/2 (the present paper). It is already known that condition (psi) does not imply local solvability with a loss of 1 derivative, so we have to content ourselves with a loss >1. | |
| dc.identifier | https://arxiv.org/abs/math/0512455 | |
| dc.identifier | http://arxiv.org/abs/math/0512455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106310 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35S05 | |
| dc.title | Cutting the loss of derivatives for solvability under condition (psi) | |
| dc.type | text |