The calibration method for the Mumford-Shah functional and free-discontinuity problems
Analysis of PDEs
2007-05-23 v1
Abstract
In this paper we present a minimality criterion for the Mumford-Shah functional, and more generally for non convex variational integrals on SBV which couple a surface and a bulk term. This method provides short and easy proofs for several minimality results.
Cite
@article{arxiv.math/0105013,
title = {The calibration method for the Mumford-Shah functional and free-discontinuity problems},
author = {Giovanni Alberti and Guy Bouchitte' and Gianni Dal Maso},
journal= {arXiv preprint arXiv:math/0105013},
year = {2007}
}
Comments
45 pages, 7 figures