Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets

Simple item page
dc.creatorMaso, Gianni Dal
dc.creatorMora, Maria Giovanna
dc.creatorMorini, Massimiliano
dc.date2000-06-09
dc.date.accessioned2026-07-07T04:35:49Z
dc.date.available2026-07-07T04:35:49Z
dc.descriptionUsing a calibration method, we prove that, if $w$ is a function which satisfies all Euler conditions for the Mumford-Shah functional on a two-dimensional open set $Ω$, and the discontinuity set of $w$ is a segment connecting two boundary points, then for every point $(x_0, y_0)$ of $Ω$ there exists a neighbourhood $U$ of $(x_0, y_0)$ such that $w$ is a minimizer of the Mumford-Shah functional on $U$ with respect to its own boundary values on $\partial U$.
dc.description22 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0006073
dc.identifierhttp://arxiv.org/abs/math/0006073
dc.identifierJ. Math. Pures Appl. 79, 2 (2000) 141-162
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59386
dc.subjectFunctional Analysis
dc.titleLocal calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
dc.typetext

Files

Collections

arXiv