Finite number of traces for Mumford–Shah minimizers in dimension 2
Abstract
In this short note, we answer a question raised by E. De Giorgi, showing that a Mumford–Shah minimizer in dimension 2 can admit at most three limit values as approaching the singular set. This result actually stems from tools developed in the early 2000s by G. David, A. Bonnet, and J.-C. Léger.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Mathematical Approximation and Integration
Publication details
- Journal / source
- Comptes Rendus Mathématique
- Volume
- 364
- Issue
- G2
- Pages
- 301–310
- Publication date
- 24 February 2026
- Language
- EN