The calibration method for the Mumford-Shah functional and free-discontinuity problems

Details The calibration method for the Mumford-Shah functional and free-discontinuity problems The calibration method for the Mumford-Shah functional and free-discontinuity problems

2001-05-02

arxiv.org/abs/math/0105013v1

Mathematics

Analysis of PDEs

45 pages, 7 figures

Scientific paper

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.

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