Local calibrations for minimizers of the Mumford-Shah functional with a triple junction

dc.creatorMora, Maria Giovanna
dc.date2001-05-08
dc.date2001-05-09
dc.date.accessioned2026-07-07T04:41:37Z
dc.date.available2026-07-07T04:41:37Z
dc.descriptionWe prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on the boundary of U. The proof is obtained by using the calibration method.
dc.description28 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0105057
dc.identifierhttp://arxiv.org/abs/math/0105057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61435
dc.subjectFunctional Analysis
dc.subject49K10 (49Q20)
dc.titleLocal calibrations for minimizers of the Mumford-Shah functional with a triple junction
dc.typetext

Files

Collections