Calculus of Variations and Geometric Measure Theory

G. Alberti - G. Bouchitté - G. Dal Maso

The Calibration Method for the Mumford-Shah Functional

created on 26 Feb 1999
modified by alberti on 06 Mar 2007


Published Paper

Inserted: 26 feb 1999
Last Updated: 6 mar 2007

Journal: C. R. Acad. Sci. Paris Sér. I Math.
Volume: 329 (1999)
Number: 3
Pages: 249-254
Year: 1999


In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a criterion to verify if a given function is energy minimizing. Among other applications, we use this criterion to show that certain triple-junction configurations are energy minimizing. Further applications will be described in a forthcoming paper.

Keywords: Mumford-Shah functional, calibrations, minimality criterion