Regularity of the singular set for Mumford-Shah minimizers in R^3 near a minimal cone
| dc.creator | Lemenant, Antoine | |
| dc.date | 2008-06-18 | |
| dc.date.accessioned | 2026-07-07T09:45:22Z | |
| dc.date.available | 2026-07-07T09:45:22Z | |
| dc.description | We show that if (u;K) is a minimizer of the Mumford-Shah functional in an open set of R^3, and if x, K and r > 0 are such that K is close enough to a minimal cone of type P (a plane), Y (three half planes meeting with 120 degrees angles) or T (cone over a regular tetrahedron centered at the origin) in terms of Hausdorff distance in B(x; r), then K is C^1,alpha equivalent to the minimal cone in B(x; cr) where c < 1 is an universal constant. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/0806.2994 | |
| dc.identifier | http://arxiv.org/abs/0806.2994 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163169 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 49Q20 | |
| dc.title | Regularity of the singular set for Mumford-Shah minimizers in R^3 near a minimal cone | |
| dc.type | text |