Analytic Hypoellipticity in the Presence of Lower Order Terms
| dc.creator | Albano, Paolo | |
| dc.creator | Bove, Antonio | |
| dc.creator | Tartakoff, David S. | |
| dc.date | 2006-03-14 | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T07:06:50Z | |
| dc.date.available | 2026-07-07T07:06:50Z | |
| dc.description | We consider a second order operator with analytic coefficients whose principal symbol vanishes exactly to order two on a symplectic real analytic manifold. We assume that the first (non degenerate) eigenvalue vanishes on a symplectic submanifold of the characteristic manifold. In the $C^\infty$ framework this situation would mean a loss of 3/2 derivatives. We prove that this operator is analytic hypoelliptic. The main tool is the FBI transform. A case in which $C^\infty$ hypoellipticity fails is also discussed. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603317 | |
| dc.identifier | http://arxiv.org/abs/math/0603317 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110173 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35H10, 35N15 | |
| dc.title | Analytic Hypoellipticity in the Presence of Lower Order Terms | |
| dc.type | text |