Failure of analytic hypoellipticity in a class of PDOs
| dc.creator | Costin, O | |
| dc.creator | Costin, R D | |
| dc.date | 2002-12-12 | |
| dc.date.accessioned | 2026-07-07T04:53:43Z | |
| dc.date.available | 2026-07-07T04:53:43Z | |
| dc.description | For the hypoelliptic differential operators $P={\partial^2_ x}+(x^k\partial_ y -x^l{\partial_t})^2$ introduced by T. Hoshiro, generalizing a class of M. Christ, in the cases of $k$ and $l$ left open in the analysis, the operators $P$ also fail to be {\em{analytic}} hypoelliptic (except for $(k,l)=(0,1)$), in accordance with Treves' conjecture. The proof is constructive, suitable for generalization, and relies on evaluating a family of eigenvalues of a non-self-adjoint operator. | |
| dc.identifier | https://arxiv.org/abs/math/0212167 | |
| dc.identifier | http://arxiv.org/abs/math/0212167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65965 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 47F05; 35P20; 35H10 | |
| dc.title | Failure of analytic hypoellipticity in a class of PDOs | |
| dc.type | text |