Calculus of Variations and Geometric Measure Theory
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A. Lemenant

A selective review on Mumford-Shah minimizers

created by lemenant on 04 Dec 2014
modified on 13 Apr 2016


review paper

Inserted: 4 dec 2014
Last Updated: 13 apr 2016

Year: 2014


This is a perhaps too long review paper on the Mumford-Shah functional, with particular interest in blow-up limits, low dimensions (2 and 3), and connection with fracture theory. It includes in particular a sketch proof of the 3D regularity result near minimal cones from my thesis, and a few more recent results that appeared in the last two years.


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