Normal forms for parabolic Monge-Ampere equations
| dc.creator | Blanco, Ricardo Alonso | |
| dc.creator | Manno, Gianni | |
| dc.creator | Pugliese, Fabrizio | |
| dc.date | 2007-07-04 | |
| dc.date | 2007-09-15 | |
| dc.date.accessioned | 2026-07-07T08:29:23Z | |
| dc.date.available | 2026-07-07T08:29:23Z | |
| dc.description | We find normal forms for parabolic Monge-Ampere equations. Of these, the most general one holds for any equation admitting a complete integral. Moreover, we explicitly give the determining equation for such integrals; restricted to the analytic case, this equation is shown to have solutions. The other normal forms exhaust the different classes of parabolic Monge-Ampere equations with symmetry properties, namely, the existence of classical or nonholonomic intermediate integrals. Our approach is based on the equivalence between parabolic Monge-Ampere equations and particular distributions on a contact manifold, and involves a classification of vector fields lying in the contact structure. These are divided into three types and described in terms of the simplest ones (characteristic fields of first order PDE's). | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0707.0683 | |
| dc.identifier | http://arxiv.org/abs/0707.0683 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137951 | |
| dc.subject | Differential Geometry | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35A30; 37J55; 58A17; 58A20; 35K55 | |
| dc.title | Normal forms for parabolic Monge-Ampere equations | |
| dc.type | text |