The Dirichlet problem in the plane with semianalytic raw data, quasianalyticity and o-minimal structures
| dc.creator | Kaiser, Tobias | |
| dc.date | 2007-05-14 | |
| dc.date | 2008-07-21 | |
| dc.date.accessioned | 2026-07-07T09:51:28Z | |
| dc.date.available | 2026-07-07T09:51:28Z | |
| dc.description | We investigate the Dirichlet solution for a semianalytic continuous function on the boundary of a semianalytic bounded domain in the plane. We show that the germ of the Dirichlet solution at a boundary point with angle greater than 0 lies in a certain quasianalytic class used by Ilyashenko in his work on Hilbert's 16th problem. With this result we can prove that the Dirichlet solution is definable in an o-minimal structure if the angle at a singular boundary point of the domain is an irrational multiple of $π$. | |
| dc.description | 37 pages | |
| dc.identifier | https://arxiv.org/abs/0705.1926 | |
| dc.identifier | http://arxiv.org/abs/0705.1926 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165261 | |
| dc.subject | Logic | |
| dc.subject | 03C64; 32B20; 35C20; 35J25; 30E15; 30D60; 30D05; 37E35 | |
| dc.title | The Dirichlet problem in the plane with semianalytic raw data, quasianalyticity and o-minimal structures | |
| dc.type | text |