Non-Linear Eigenvalues and Analytic Hypoellipticity
| dc.creator | Chanillo, Sagun | |
| dc.creator | Helffer, Bernard | |
| dc.creator | Laptev, Ari | |
| dc.date | 2002-11-20 | |
| dc.date | 2002-12-07 | |
| dc.date.accessioned | 2026-07-07T04:53:07Z | |
| dc.date.available | 2026-07-07T04:53:07Z | |
| dc.description | Motivated by the problems of analytic hypoellipticity, we show that a special family of compact non self-adjoint operators has a non-zero eigenvalue. We recover old results by Christ,Hanges, Himonas, Pham-The-Lai and Robert proved by using ordinary differential equations. We show our method applies to higher dimensional cases, giving in particular a new class of hypoelliptic but not analytic hypoelliptic operators. | |
| dc.description | 22 pages, theorem 4.3 in new version is improved from m>18(old) to m>5(new) Proofs simplified considerably and typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/0211308 | |
| dc.identifier | http://arxiv.org/abs/math/0211308 | |
| dc.identifier | J. Functional Analysis, 209(2), 2004, 425-443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65722 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Spectral Theory | |
| dc.subject | 35J70;35J10 | |
| dc.title | Non-Linear Eigenvalues and Analytic Hypoellipticity | |
| dc.type | text |