Analytic Hypoellipticity at Non-Symplectic Poisson-Treves Strata for Sums of Squares of Vector Fields
| dc.creator | Bove, Antonio | |
| dc.creator | Tartakoff, David S. | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T07:25:20Z | |
| dc.date.available | 2026-07-07T07:25:20Z | |
| dc.description | We consider an operator $ P $ which is a sum of squares of vector fields with analytic coefficients. The operator has a non-symplectic characteristic manifold, but the rank of the symplectic form $ σ$ is not constant on $ \Char P $. Moreover the Hamilton foliation of the non symplectic stratum of the Poisson-Treves stratification for $ P $ consists of closed curves in a ring-shaped open set around the origin. We prove that then $ P $ is analytic hypoelliptic on that open set. And we note explicitly that the local Gevrey hypoellipticity for $ P $ is $ G^{k+1} $ and that this is sharp. | |
| dc.description | 20pp | |
| dc.identifier | https://arxiv.org/abs/math/0609777 | |
| dc.identifier | http://arxiv.org/abs/math/0609777 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116683 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35H10, 35N15 | |
| dc.title | Analytic Hypoellipticity at Non-Symplectic Poisson-Treves Strata for Sums of Squares of Vector Fields | |
| dc.type | text |