Level set approach for fractional mean curvature flows
| dc.creator | Imbert, Cyril | |
| dc.date | 2008-07-16 | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:59:47Z | |
| dc.date.available | 2026-07-07T12:59:47Z | |
| dc.description | This paper is concerned with the study of a geometric flow whose law involves a singular integral operator. This operator is used to define a non-local mean curvature of a set. Moreover the associated flow appears in two important applications: dislocation dynamics and phase field theory for fractional reaction-diffusion equations. It is defined by using the level set method. The main results of this paper are: on one hand, the proper level set formulation of the geometric flow; on the other hand, stability and comparison results for the geometric equation associated with the flow. | |
| dc.identifier | https://arxiv.org/abs/0807.2627 | |
| dc.identifier | http://arxiv.org/abs/0807.2627 | |
| dc.identifier | Interfaces and free boundaries 11, 1 (2009) 153-176 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/225676 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35F25, 35K55, 35K65, 49L25, 35A05 | |
| dc.title | Level set approach for fractional mean curvature flows | |
| dc.type | text |