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- Title
Local Calibrations for Minimizers of the Mumford–Shah Functional with a Triple Junction.
- Authors
Mora, Maria Giovanna
- Abstract
We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on δU. The proof is obtained by using the calibration method.
- Subjects
FUNCTIONAL equations; DISCONTINUOUS functions
- Publication
Communications in Contemporary Mathematics, 2002, Vol 4, Issue 2, p297
- ISSN
0219-1997
- Publication type
Article
- DOI
10.1142/S0219199702000646