The regularity theory for the Mumford-Shah functional on the plane
Camillo De Lellis, Matteo Focardi
TL;DR
This paper provides a comprehensive overview of the latest developments in the regularity theory for minimizers and critical points of the Mumford-Shah functional in the plane, highlighting key theoretical advances.
Contribution
It offers a complete, self-contained account of the current state of the art in regularity results for the Mumford-Shah functional in two dimensions.
Findings
Detailed regularity results for planar minimizers
Characterization of critical points of the Mumford-Shah functional
Summary of recent theoretical progress in the field
Abstract
The aim of these notes is to give a complete self-contained account of the current state of the art in the regularity for planar minimizers and critical points of the Mumford-Shah functional.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Stability and Controllability of Differential Equations