Regularity issues for local minimizers of the Mumford & Shah energy in 2D

We review some issues about the regularity theory of local minimizers of the Mumford & Shah energy in the 2-dimensional case. In particular, we stress upon some recent results obtained in collaboration with Camillo De Lellis (Universität Zurich). On one hand, we deal with basic regularity, more...

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Bibliographic Details
Main Author: Matteo Focardi
Format: Article
Language:English
Published: University of Bologna 2012-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Subjects:
Online Access:http://mathematicalanalysis.unibo.it/article/view/3416