The Calibration Method for Free Discontinuity Problems

2000/06/02 by G. Dal Maso
Mathematics · #math.OC #msc:49K10 #msc:49Q20

paper · pdf

published as Proceedings of the 3rd European Congress of Mathematics (Barcelona, 2000) · 10 pages

arxiv created 2000/06/02 · arxiv updated 2009/11/30

Abstract

The calibration method is used to identify some minimizers of the Mumford-Shah functional. The method is then extended to more general free discontinuity problems.

Related

• The calibration method for the Mumford-Shah functional and free-discontinuity problems
• Local calibrations for minimizers of the Mumford-Shah functional with rectilinear discontinuity sets
• Local calibrations for minimizers of the Mumford-Shah functional with a regular discontinuity set
• Local calibrations for minimizers of the Mumford-Shah functional with a triple junction
• Global calibrations for the non-homogeneous Mumford-Shah functional