Calculus of Variations and Geometric Measure Theory

G. De Philippis - A. Figalli

Higher integrability for minimizers of the Mumford-Shah functional

created by dephilipp on 05 Mar 2013
modified by figalli on 14 Aug 2024

[BibTeX]

Published Paper

Inserted: 5 mar 2013
Last Updated: 14 aug 2024

Journal: Arch. Ration. Mech. Anal.
Year: 2014

ArXiv: 1303.1196 PDF

Abstract:

We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.

Tags: GeMeThNES


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